579481876368 has 120 divisors (see below), whose sum is σ = 1640720681600. Its totient is φ = 190913552640.

The previous prime is 579481876367. The next prime is 579481876381. The reversal of 579481876368 is 863678184975.

579481876368 is a `hidden beast` number, since 5 + 7 + 9 + 481 + 87 + 6 + 3 + 68 = 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 = 579481876296 and 579481876305.

It is not an unprimeable number, because it can be changed into a prime (579481876367) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4180233 + ... + 4316631.

Almost surely, 2^579481876368 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 579481876368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (820360340800).

579481876368 is an abundant number, since it is smaller than the sum of its proper divisors (1061238805232).

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

579481876368 is a wasteful number, since it uses less digits than its factorization.

579481876368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 136757 (or 136748 counting only the distinct ones).

The product of its digits is 487710720, while the sum is 72.

The spelling of 579481876368 in words is "five hundred seventy-nine billion, four hundred eighty-one million, eight hundred seventy-six thousand, three hundred sixty-eight".