57630925440 has 768 divisors, whose sum is σ = 229927420800. Its totient is φ = 13624934400.

The previous prime is 57630925411. The next prime is 57630925447. The reversal of 57630925440 is 4452903675.

57630925440 is a `hidden beast` number, since 5 + 7 + 630 + 9 + 2 + 5 + 4 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (57630925447) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 89907520 + ... + 89908160.

Almost surely, 2^57630925440 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 57630925440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114963710400).

57630925440 is an abundant number, since it is smaller than the sum of its proper divisors (172296495360).

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

57630925440 is a wasteful number, since it uses less digits than its factorization.

57630925440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 734 (or 705 counting only the distinct ones).

The product of its (nonzero) digits is 907200, while the sum is 45.

The spelling of 57630925440 in words is "fifty-seven billion, six hundred thirty million, nine hundred twenty-five thousand, four hundred forty".