76155907968 has 512 divisors, whose sum is σ = 269554176000. Its totient is φ = 20706803712.

The previous prime is 76155907943. The next prime is 76155908027. The reversal of 76155907968 is 86970955167.

76155907968 is a `hidden beast` number, since 7 + 6 + 1 + 559 + 0 + 79 + 6 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 51213721 + ... + 51215207.

It is an arithmetic number, because the mean of its divisors is an integer number (526473000).

Almost surely, 2^76155907968 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 76155907968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134777088000).

76155907968 is an abundant number, since it is smaller than the sum of its proper divisors (193398268032).

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

76155907968 is a wasteful number, since it uses less digits than its factorization.

76155907968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1619 (or 1601 counting only the distinct ones).

The product of its (nonzero) digits is 28576800, while the sum is 63.

The spelling of 76155907968 in words is "seventy-six billion, one hundred fifty-five million, nine hundred seven thousand, nine hundred sixty-eight".