579877294464 has 640 divisors, whose sum is σ = 1902845128800. Its totient is φ = 174214250496.

The previous prime is 579877294459. The next prime is 579877294471. The reversal of 579877294464 is 464492778975.

579877294464 is a `hidden beast` number, since 5 + 7 + 9 + 8 + 7 + 72 + 94 + 464 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

Its product of digits (853493760) is a multiple of the sum of its prime factors (672).

It is a junction number, because it is equal to n+sod(n) for n = 579877294392 and 579877294401.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1417792692 + ... + 1417793100.

Almost surely, 2^579877294464 is an apocalyptic number.

579877294464 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 579877294464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (951422564400).

579877294464 is an abundant number, since it is smaller than the sum of its proper divisors (1322967834336).

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

579877294464 is a wasteful number, since it uses less digits than its factorization.

579877294464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 672 (or 651 counting only the distinct ones).

The product of its digits is 853493760, while the sum is 72.

The spelling of 579877294464 in words is "five hundred seventy-nine billion, eight hundred seventy-seven million, two hundred ninety-four thousand, four hundred sixty-four".