76253668704 has 96 divisors (see below), whose sum is σ = 222457536000. Its totient is φ = 25412061312.

The previous prime is 76253668637. The next prime is 76253668741. The reversal of 76253668704 is 40786635267.

76253668704 is a `hidden beast` number, since 7 + 625 + 3 + 6 + 6 + 8 + 7 + 0 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (54).

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 15 ways as a sum of consecutive naturals, for example, 5487237 + ... + 5501115.

It is an arithmetic number, because the mean of its divisors is an integer number (2317266000).

Almost surely, 2^76253668704 is an apocalyptic number.

It is an amenable number.

76253668704 is an abundant number, since it is smaller than the sum of its proper divisors (146203867296).

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

76253668704 is a wasteful number, since it uses less digits than its factorization.

76253668704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20257 (or 20243 counting only the distinct ones).

The product of its (nonzero) digits is 10160640, while the sum is 54.

The spelling of 76253668704 in words is "seventy-six billion, two hundred fifty-three million, six hundred sixty-eight thousand, seven hundred four".