579997567744920 has 576 divisors, whose sum is σ = 2168371396245600. Its totient is φ = 139286454128640.

The previous prime is 579997567744901. The next prime is 579997567744943. The reversal of 579997567744920 is 29447765799975.

579997567744920 is a `hidden beast` number, since 5 + 7 + 9 + 9 + 9 + 75 + 6 + 77 + 449 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (90).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 63044026 + ... + 71655734.

Almost surely, 2^{579997567744920} 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 579997567744920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1084185698122800).

579997567744920 is an abundant number, since it is smaller than the sum of its proper divisors (1588373828500680).

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

579997567744920 is a wasteful number, since it uses less digits than its factorization.

579997567744920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8611802 (or 8611773 counting only the distinct ones).

The product of its (nonzero) digits is 75614212800, while the sum is 90.

The spelling of 579997567744920 in words is "five hundred seventy-nine trillion, nine hundred ninety-seven billion, five hundred sixty-seven million, seven hundred forty-four thousand, nine hundred twenty".