6862440960 has 320 divisors, whose sum is σ = 24642351360. Its totient is φ = 1810022400.

The previous prime is 6862440947. The next prime is 6862440967. The reversal of 6862440960 is 690442686.

6862440960 is a `hidden beast` number, since 68 + 62 + 440 + 96 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (320).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6862440967) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6980629 + ... + 6981611.

It is an arithmetic number, because the mean of its divisors is an integer number (77007348).

Almost surely, 2^6862440960 is an apocalyptic number.

6862440960 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 6862440960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12321175680).

6862440960 is an abundant number, since it is smaller than the sum of its proper divisors (17779910400).

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

6862440960 is a wasteful number, since it uses less digits than its factorization.

6862440960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1116 (or 1094 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 45.

The square root of 6862440960 is about 82839.8512794416. The cubic root of 6862440960 is about 1900.3176717221.

The spelling of 6862440960 in words is "six billion, eight hundred sixty-two million, four hundred forty thousand, nine hundred sixty".