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6868592640 = 21134572132
BaseRepresentation
bin1100110010110011…
…00110100000000000
3122201200110122210000
412121121212200000
5103031324431030
63053321440000
7332132034300
oct63131464000
918650418700
106868592640
112a05161348
1213b8340000
13856016a00
14492311600
152a300d860
hex199666800

6868592640 has 1080 divisors, whose sum is σ = 31011050070. Its totient is φ = 1449197568.

The previous prime is 6868592639. The next prime is 6868592641. The reversal of 6868592640 is 462958686.

It is a happy number.

6868592640 is a `hidden beast` number, since 6 + 8 + 6 + 8 + 592 + 6 + 40 = 666.

It is an interprime number because it is at equal distance from previous prime (6868592639) and next prime (6868592641).

It can be written as a sum of positive squares in 3 ways, for example, as 2962842624 + 3905750016 = 54432^2 + 62496^2 .

It is a tau number, because it is divible by the number of its divisors (1080).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (6868592641) by changing a digit.

It is a polite number, since it can be written in 89 ways as a sum of consecutive naturals, for example, 528353274 + ... + 528353286.

Almost surely, 26868592640 is an apocalyptic number.

6868592640 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6868592640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15505525035).

6868592640 is an abundant number, since it is smaller than the sum of its proper divisors (24142457430).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

6868592640 is a wasteful number, since it uses less digits than its factorization.

6868592640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 79 (or 30 counting only the distinct ones).

The product of its (nonzero) digits is 4976640, while the sum is 54.

The square root of 6868592640 is about 82876.9729176929. The cubic root of 6868592640 is about 1900.8853343997.

The spelling of 6868592640 in words is "six billion, eight hundred sixty-eight million, five hundred ninety-two thousand, six hundred forty".