57736400656 has 135 divisors (see below), whose sum is σ = 126883267623. Its totient is φ = 25431658560.

The previous prime is 57736400639. The next prime is 57736400669. The reversal of 57736400656 is 65600463775.

The square root of 57736400656 is 240284.

It is a perfect power (a square), and thus also a powerful number.

57736400656 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-4 number, since 4×57736400656⁴ (a number of 44 digits) contains 4444 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 454617265 + ... + 454617391.

Almost surely, 2^57736400656 is an apocalyptic number.

57736400656 is the 240284-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 57736400656

57736400656 is an abundant number, since it is smaller than the sum of its proper divisors (69146866967).

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

57736400656 is a wasteful number, since it uses less digits than its factorization.

57736400656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 370 (or 183 counting only the distinct ones).

The product of its (nonzero) digits is 3175200, while the sum is 49.

Multiplying 57736400656 by its sum of digits (49), we get a square (2829083632144 = 1681988²).

The spelling of 57736400656 in words is "fifty-seven billion, seven hundred thirty-six million, four hundred thousand, six hundred fifty-six".