57764904960 has 512 divisors, whose sum is σ = 214610872320. Its totient is φ = 12995002368.

The previous prime is 57764904941. The next prime is 57764904971. The reversal of 57764904960 is 6940946775.

It is a tau number, because it is divible by the number of its divisors (512).

It is a self number, because there is not a number n which added to its sum of digits gives 57764904960.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 354385839 + ... + 354386001.

It is an arithmetic number, because the mean of its divisors is an integer number (419161860).

Almost surely, 2^57764904960 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 57764904960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107305436160).

57764904960 is an abundant number, since it is smaller than the sum of its proper divisors (156845967360).

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

57764904960 is a wasteful number, since it uses less digits than its factorization.

57764904960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 311 (or 283 counting only the distinct ones).

The product of its (nonzero) digits is 11430720, while the sum is 57.

The spelling of 57764904960 in words is "fifty-seven billion, seven hundred sixty-four million, nine hundred four thousand, nine hundred sixty".