57410632397664 has 1152 divisors, whose sum is σ = 233799679411200. Its totient is φ = 13500529459200.

The previous prime is 57410632397621. The next prime is 57410632397743. The reversal of 57410632397664 is 46679323601475.

It is a happy number.

57410632397664 is a `hidden beast` number, since 5 + 7 + 410 + 63 + 2 + 39 + 76 + 64 = 666.

57410632397664 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 177607389 + ... + 177930339.

It is an arithmetic number, because the mean of its divisors is an integer number (202951110600).

Almost surely, 2^{57410632397664} is an apocalyptic number.

57410632397664 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 57410632397664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116899839705600).

57410632397664 is an abundant number, since it is smaller than the sum of its proper divisors (176389047013536).

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

57410632397664 is a wasteful number, since it uses less digits than its factorization.

57410632397664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 323033 (or 323012 counting only the distinct ones).

The product of its (nonzero) digits is 137168640, while the sum is 63.

The spelling of 57410632397664 in words is "fifty-seven trillion, four hundred ten billion, six hundred thirty-two million, three hundred ninety-seven thousand, six hundred sixty-four".