57732756480 has 792 divisors, whose sum is σ = 241575935328. Its totient is φ = 13182124032.

The previous prime is 57732756469. The next prime is 57732756493. The reversal of 57732756480 is 8465723775.

It is a happy number.

57732756480 is a `hidden beast` number, since 5 + 7 + 73 + 2 + 7 + 564 + 8 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 60963367 + ... + 60964313.

Almost surely, 2^57732756480 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 57732756480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120787967664).

57732756480 is an abundant number, since it is smaller than the sum of its proper divisors (183843178848).

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

57732756480 is an equidigital number, since it uses as much as digits as its factorization.

57732756480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1001 (or 964 counting only the distinct ones).

The product of its (nonzero) digits is 9878400, while the sum is 54.

The spelling of 57732756480 in words is "fifty-seven billion, seven hundred thirty-two million, seven hundred fifty-six thousand, four hundred eighty".