764612505504 has 72 divisors (see below), whose sum is σ = 2174476538052. Its totient is φ = 254857973760.

The previous prime is 764612505467. The next prime is 764612505551. The reversal of 764612505504 is 405505216467.

764612505504 is a `hidden beast` number, since 7 + 6 + 46 + 1 + 2 + 50 + 550 + 4 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 661378815504 + 103233690000 = 813252^2 + 321300^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a self number, because there is not a number n which added to its sum of digits gives 764612505504.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6909232 + ... + 7019024.

Almost surely, 2^764612505504 is an apocalyptic number.

It is an amenable number.

764612505504 is an abundant number, since it is smaller than the sum of its proper divisors (1409864032548).

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

764612505504 is a wasteful number, since it uses less digits than its factorization.

764612505504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 133990 (or 133979 counting only the distinct ones).

The product of its (nonzero) digits is 1008000, while the sum is 45.

The spelling of 764612505504 in words is "seven hundred sixty-four billion, six hundred twelve million, five hundred five thousand, five hundred four".