557680640 has 96 divisors (see below), whose sum is σ = 1460047680. Its totient is φ = 202752000.

The previous prime is 557680639. The next prime is 557680657. The reversal of 557680640 is 46086755.

It is a super-2 number, since 2×557680640² = 622015392461619200, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 110165 + ... + 115115.

It is an arithmetic number, because the mean of its divisors is an integer number (15208830).

Almost surely, 2^557680640 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 557680640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (730023840).

557680640 is an abundant number, since it is smaller than the sum of its proper divisors (902367040).

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

557680640 is a wasteful number, since it uses less digits than its factorization.

557680640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4989 (or 4969 counting only the distinct ones).

The product of its (nonzero) digits is 201600, while the sum is 41.

The square root of 557680640 is about 23615.2628611244. The cubic root of 557680640 is about 823.1175395747.

The spelling of 557680640 in words is "five hundred fifty-seven million, six hundred eighty thousand, six hundred forty".