57747997440 has 864 divisors, whose sum is σ = 241898569920. Its totient is φ = 13168189440.

The previous prime is 57747997429. The next prime is 57747997487. The reversal of 57747997440 is 4479974775.

57747997440 is a `hidden beast` number, since 5 + 77 + 479 + 97 + 4 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

It is a Smith number, since the sum of its digits (63) 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 (63).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 137168430 + ... + 137168850.

Almost surely, 2^57747997440 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 57747997440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120949284960).

57747997440 is an abundant number, since it is smaller than the sum of its proper divisors (184150572480).

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

57747997440 is an frugal number, since it uses more digits than its factorization.

57747997440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 477 (or 438 counting only the distinct ones).

The product of its (nonzero) digits is 62233920, while the sum is 63.

The spelling of 57747997440 in words is "fifty-seven billion, seven hundred forty-seven million, nine hundred ninety-seven thousand, four hundred forty".