57876433824 has 384 divisors, whose sum is σ = 183379230720. Its totient is φ = 15776640000.

The previous prime is 57876433799. The next prime is 57876433831. The reversal of 57876433824 is 42833467875.

57876433824 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (57) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 77065449 + ... + 77066199.

It is an arithmetic number, because the mean of its divisors is an integer number (477550080).

Almost surely, 2^57876433824 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 57876433824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91689615360).

57876433824 is an abundant number, since it is smaller than the sum of its proper divisors (125502796896).

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

57876433824 is a wasteful number, since it uses less digits than its factorization.

57876433824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 984 (or 976 counting only the distinct ones).

The product of its digits is 27095040, while the sum is 57.

The spelling of 57876433824 in words is "fifty-seven billion, eight hundred seventy-six million, four hundred thirty-three thousand, eight hundred twenty-four".