579847579920 has 720 divisors, whose sum is σ = 2440049451840. Its totient is φ = 122634860544.

The previous prime is 579847579903. The next prime is 579847579937. The reversal of 579847579920 is 29975748975.

579847579920 is a `hidden beast` number, since 5 + 7 + 9 + 8 + 47 + 579 + 9 + 2 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (579847579903) and next prime (579847579937).

It is a tau number, because it is divible by the number of its divisors (720).

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

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, 28813702 + ... + 28833818.

It is an arithmetic number, because the mean of its divisors is an integer number (3388957572).

Almost surely, 2^579847579920 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 579847579920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1220024725920).

579847579920 is an abundant number, since it is smaller than the sum of its proper divisors (1860201871920).

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

579847579920 is a wasteful number, since it uses less digits than its factorization.

579847579920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20212 (or 20196 counting only the distinct ones).

The product of its (nonzero) digits is 400075200, while the sum is 72.

The spelling of 579847579920 in words is "five hundred seventy-nine billion, eight hundred forty-seven million, five hundred seventy-nine thousand, nine hundred twenty".