579346483968 has 540 divisors, whose sum is σ = 2058709641912. Its totient is φ = 161478696960.

The previous prime is 579346483939. The next prime is 579346483979. The reversal of 579346483968 is 869384643975.

579346483968 is a `hidden beast` number, since 5 + 79 + 3 + 464 + 8 + 3 + 96 + 8 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 579346483896 and 579346483905.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 41651671 + ... + 41665577.

Almost surely, 2^579346483968 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 579346483968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1029354820956).

579346483968 is an abundant number, since it is smaller than the sum of its proper divisors (1479363157944).

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

579346483968 is a wasteful number, since it uses less digits than its factorization.

579346483968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13990 (or 13960 counting only the distinct ones).

The product of its digits is 940584960, while the sum is 72.

The spelling of 579346483968 in words is "five hundred seventy-nine billion, three hundred forty-six million, four hundred eighty-three thousand, nine hundred sixty-eight".