557675664 has 360 divisors, whose sum is σ = 1924644672. Its totient is φ = 138378240.

The previous prime is 557675659. The next prime is 557675683. The reversal of 557675664 is 466576755.

It is a super-2 number, since 2×557675664² = 622004292435681792, which contains 22 as substring.

Its product of digits (5292000) is a multiple of the sum of its prime factors (135).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 9142194 + ... + 9142254.

Almost surely, 2^557675664 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 557675664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (962322336).

557675664 is an abundant number, since it is smaller than the sum of its proper divisors (1366969008).

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

557675664 is a wasteful number, since it uses less digits than its factorization.

557675664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 135 (or 109 counting only the distinct ones).

The product of its digits is 5292000, while the sum is 51.

The square root of 557675664 is about 23615.1575052973. The cubic root of 557675664 is about 823.1150914322.

The spelling of 557675664 in words is "five hundred fifty-seven million, six hundred seventy-five thousand, six hundred sixty-four".