76629811104 has 576 divisors, whose sum is σ = 286628832000. Its totient is φ = 19894533120.

The previous prime is 76629811087. The next prime is 76629811117. The reversal of 76629811104 is 40111892667.

76629811104 is a `hidden beast` number, since 7 + 6 + 629 + 8 + 1 + 1 + 10 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 76629811104.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 35857524 + ... + 35859660.

It is an arithmetic number, because the mean of its divisors is an integer number (497619500).

Almost surely, 2^76629811104 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 76629811104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143314416000).

76629811104 is an abundant number, since it is smaller than the sum of its proper divisors (209999020896).

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

76629811104 is a wasteful number, since it uses less digits than its factorization.

76629811104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2199 (or 2160 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 45.

The spelling of 76629811104 in words is "seventy-six billion, six hundred twenty-nine million, eight hundred eleven thousand, one hundred four".