557766720 has 336 divisors, whose sum is σ = 2228453760. Its totient is φ = 125411328.

The previous prime is 557766709. The next prime is 557766761. The reversal of 557766720 is 27667755.

557766720 is a `hidden beast` number, since 5 + 577 + 6 + 6 + 72 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

It is a super-2 number, since 2×557766720² = 622207427879116800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1471491 + ... + 1471869.

Almost surely, 2^557766720 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 557766720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1114226880).

557766720 is an abundant number, since it is smaller than the sum of its proper divisors (1670687040).

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

557766720 is a wasteful number, since it uses less digits than its factorization.

557766720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 482 (or 469 counting only the distinct ones).

The product of its (nonzero) digits is 617400, while the sum is 45.

The square root of 557766720 is about 23617.0853409137. The cubic root of 557766720 is about 823.1598877740.

The spelling of 557766720 in words is "five hundred fifty-seven million, seven hundred sixty-six thousand, seven hundred twenty".