57164776768 has 112 divisors (see below), whose sum is σ = 128849128128. Its totient is φ = 24933888000.

The previous prime is 57164776733. The next prime is 57164776769. The reversal of 57164776768 is 86767746175.

It is a Harshad number since it is a multiple of its sum of digits (64).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (57164776769) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1744471 + ... + 1776937.

It is an arithmetic number, because the mean of its divisors is an integer number (1150438644).

Almost surely, 2^57164776768 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 57164776768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64424564064).

57164776768 is an abundant number, since it is smaller than the sum of its proper divisors (71684351360).

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

57164776768 is a wasteful number, since it uses less digits than its factorization.

57164776768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32592 (or 32582 counting only the distinct ones).

The product of its digits is 82978560, while the sum is 64.

The spelling of 57164776768 in words is "fifty-seven billion, one hundred sixty-four million, seven hundred seventy-six thousand, seven hundred sixty-eight".