76931017632 has 324 divisors, whose sum is σ = 268607539746. Its totient is φ = 20822054400.

The previous prime is 76931017577. The next prime is 76931017633. The reversal of 76931017632 is 23671013967.

76931017632 is a `hidden beast` number, since 7 + 6 + 9 + 3 + 1 + 0 + 1 + 7 + 632 = 666.

It can be written as a sum of positive squares in only one way, i.e., 74483143056 + 2447874576 = 272916^2 + 49476^2 .

It is not an unprimeable number, because it can be changed into a prime (76931017633) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 5086882 + ... + 5101982.

Almost surely, 2^76931017632 is an apocalyptic number.

76931017632 is a gapful number since it is divisible by the number (72) 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 76931017632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134303769873).

76931017632 is an abundant number, since it is smaller than the sum of its proper divisors (191676522114).

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

76931017632 is a wasteful number, since it uses less digits than its factorization.

76931017632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15169 (or 15132 counting only the distinct ones).

The product of its (nonzero) digits is 285768, while the sum is 45.

The spelling of 76931017632 in words is "seventy-six billion, nine hundred thirty-one million, seventeen thousand, six hundred thirty-two".