579473664 has 288 divisors, whose sum is σ = 1977937920. Its totient is φ = 146227200.

The previous prime is 579473651. The next prime is 579473677. The reversal of 579473664 is 466374975.

It is an interprime number because it is at equal distance from previous prime (579473651) and next prime (579473677).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2424457 + ... + 2424695.

It is an arithmetic number, because the mean of its divisors is an integer number (6867840).

Almost surely, 2^579473664 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 579473664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (988968960).

579473664 is an abundant number, since it is smaller than the sum of its proper divisors (1398464256).

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

579473664 is a wasteful number, since it uses less digits than its factorization.

579473664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 317 (or 303 counting only the distinct ones).

The product of its digits is 3810240, while the sum is 51.

The square root of 579473664 is about 24072.2592209373. The cubic root of 579473664 is about 833.7027504885.

The spelling of 579473664 in words is "five hundred seventy-nine million, four hundred seventy-three thousand, six hundred sixty-four".