57637681920 has 1440 divisors, whose sum is σ = 261767721600. Its totient is φ = 11784683520.

The previous prime is 57637681837. The next prime is 57637681939. The reversal of 57637681920 is 2918673675.

57637681920 is a `hidden beast` number, since 576 + 3 + 7 + 68 + 1 + 9 + 2 + 0 = 666.

57637681920 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (1440).

It is a super-2 number, since 2×57637681920² (a number of 22 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 386830006 + ... + 386830154.

It is an arithmetic number, because the mean of its divisors is an integer number (181783140).

Almost surely, 2^57637681920 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 57637681920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130883860800).

57637681920 is an abundant number, since it is smaller than the sum of its proper divisors (204130039680).

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

57637681920 is a wasteful number, since it uses less digits than its factorization.

57637681920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 243 (or 220 counting only the distinct ones).

The product of its (nonzero) digits is 3810240, while the sum is 54.

The spelling of 57637681920 in words is "fifty-seven billion, six hundred thirty-seven million, six hundred eighty-one thousand, nine hundred twenty".