6741895680 has 800 divisors, whose sum is σ = 27075798288. Its totient is φ = 1592524800.

The previous prime is 6741895673. The next prime is 6741895691. The reversal of 6741895680 is 865981476.

6741895680 is a `hidden beast` number, since 6 + 74 + 1 + 8 + 9 + 568 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 28387584 + 6713508096 = 5328^2 + 81936^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 110522850 + ... + 110522910.

Almost surely, 2^6741895680 is an apocalyptic number.

6741895680 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 6741895680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13537899144).

6741895680 is an abundant number, since it is smaller than the sum of its proper divisors (20333902608).

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

6741895680 is a wasteful number, since it uses less digits than its factorization.

6741895680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 150 (or 125 counting only the distinct ones).

The product of its (nonzero) digits is 2903040, while the sum is 54.

The square root of 6741895680 is about 82109.0474917350. The cubic root of 6741895680 is about 1889.1249161319.

The spelling of 6741895680 in words is "six billion, seven hundred forty-one million, eight hundred ninety-five thousand, six hundred eighty".