557495568 has 320 divisors, whose sum is σ = 1993523200. Its totient is φ = 145566720.

The previous prime is 557495563. The next prime is 557495579. The reversal of 557495568 is 865594755.

557495568 is a `hidden beast` number, since 5 + 5 + 74 + 9 + 5 + 568 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

Its product of digits (7560000) is a multiple of the sum of its prime divisors (375).

It is not an unprimeable number, because it can be changed into a prime (557495563) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1780980 + ... + 1781292.

It is an arithmetic number, because the mean of its divisors is an integer number (6229760).

Almost surely, 2^557495568 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 557495568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (996761600).

557495568 is an abundant number, since it is smaller than the sum of its proper divisors (1436027632).

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

557495568 is a wasteful number, since it uses less digits than its factorization.

557495568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 387 (or 375 counting only the distinct ones).

The product of its digits is 7560000, while the sum is 54.

The square root of 557495568 is about 23611.3440532300. The cubic root of 557495568 is about 823.0264761877.

The spelling of 557495568 in words is "five hundred fifty-seven million, four hundred ninety-five thousand, five hundred sixty-eight".