557808768 has 320 divisors, whose sum is σ = 1863148320. Its totient is φ = 164229120.

The previous prime is 557808751. The next prime is 557808773. The reversal of 557808768 is 867808755.

It is a happy number.

557808768 is a `hidden beast` number, since 5 + 578 + 0 + 8 + 7 + 68 = 666.

It is a super-2 number, since 2×557808768² = 622301243315355648, which contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 7641180 + ... + 7641252.

Almost surely, 2^557808768 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 557808768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (931574160).

557808768 is an abundant number, since it is smaller than the sum of its proper divisors (1305339552).

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

557808768 is a wasteful number, since it uses less digits than its factorization.

557808768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 177 (or 156 counting only the distinct ones).

The product of its (nonzero) digits is 3763200, while the sum is 54.

The square root of 557808768 is about 23617.9755271276. The cubic root of 557808768 is about 823.1805722621.

The spelling of 557808768 in words is "five hundred fifty-seven million, eight hundred eight thousand, seven hundred sixty-eight".