57734864000 has 256 divisors, whose sum is σ = 158032892160. Its totient is φ = 20801536000.

The previous prime is 57734863997. The next prime is 57734864059. The reversal of 57734864000 is 46843775.

It is a super-4 number, since 4×57734864000⁴ (a number of 44 digits) contains 4444 as substring.

It is a Harshad number since it is a multiple of its sum of digits (44).

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 31 ways as a sum of consecutive naturals, for example, 19886549 + ... + 19889451.

It is an arithmetic number, because the mean of its divisors is an integer number (617315985).

Almost surely, 2^57734864000 is an apocalyptic number.

57734864000 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 57734864000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79016446080).

57734864000 is an abundant number, since it is smaller than the sum of its proper divisors (100298028160).

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

57734864000 is a wasteful number, since it uses less digits than its factorization.

57734864000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3056 (or 3034 counting only the distinct ones).

The product of its (nonzero) digits is 564480, while the sum is 44.

The spelling of 57734864000 in words is "fifty-seven billion, seven hundred thirty-four million, eight hundred sixty-four thousand".