57670424724864 has 256 divisors, whose sum is σ = 187009674670080. Its totient is φ = 15370772938752.

The previous prime is 57670424724859. The next prime is 57670424724883. The reversal of 57670424724864 is 46842742407675.

It is a Smith number, since the sum of its digits (66) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 57670424724795 and 57670424724804.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 420624 + ... + 10747919.

It is an arithmetic number, because the mean of its divisors is an integer number (730506541680).

Almost surely, 2^{57670424724864} 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 57670424724864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93504837335040).

57670424724864 is an abundant number, since it is smaller than the sum of its proper divisors (129339249945216).

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

57670424724864 is a wasteful number, since it uses less digits than its factorization.

57670424724864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11168697 (or 11168685 counting only the distinct ones).

The product of its (nonzero) digits is 505774080, while the sum is 66.

The spelling of 57670424724864 in words is "fifty-seven trillion, six hundred seventy billion, four hundred twenty-four million, seven hundred twenty-four thousand, eight hundred sixty-four".