76604967864 has 320 divisors, whose sum is σ = 226638324000. Its totient is φ = 24141680640.

The previous prime is 76604967863. The next prime is 76604967899. The reversal of 76604967864 is 46876940667.

76604967864 is a `hidden beast` number, since 7 + 6 + 60 + 496 + 7 + 86 + 4 = 666.

It is a super-2 number, since 2×76604967864² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (76604967863) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 272615404 + ... + 272615684.

Almost surely, 2^76604967864 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 76604967864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113319162000).

76604967864 is an abundant number, since it is smaller than the sum of its proper divisors (150033356136).

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

76604967864 is a wasteful number, since it uses less digits than its factorization.

76604967864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 580 (or 567 counting only the distinct ones).

The product of its (nonzero) digits is 73156608, while the sum is 63.

The spelling of 76604967864 in words is "seventy-six billion, six hundred four million, nine hundred sixty-seven thousand, eight hundred sixty-four".