76564005696 has 168 divisors, whose sum is σ = 224816907744. Its totient is φ = 24899374080.

The previous prime is 76564005647. The next prime is 76564005701. The reversal of 76564005696 is 69650046567.

76564005696 is a `hidden beast` number, since 76 + 5 + 6 + 4 + 0 + 0 + 569 + 6 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 40147975 + ... + 40149881.

Almost surely, 2^76564005696 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 76564005696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112408453872).

76564005696 is an abundant number, since it is smaller than the sum of its proper divisors (148252902048).

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

76564005696 is a wasteful number, since it uses less digits than its factorization.

76564005696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3589 (or 3576 counting only the distinct ones).

The product of its (nonzero) digits is 8164800, while the sum is 54.

The spelling of 76564005696 in words is "seventy-six billion, five hundred sixty-four million, five thousand, six hundred ninety-six".