579748972320 has 1344 divisors, whose sum is σ = 2457770515200. Its totient is φ = 129048256512.

The previous prime is 579748972307. The next prime is 579748972351. The reversal of 579748972320 is 23279847975.

579748972320 is a `hidden beast` number, since 57 + 9 + 7 + 489 + 72 + 32 + 0 = 666.

It is a super-2 number, since 2×579748972320² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 1720323192 + ... + 1720323528.

It is an arithmetic number, because the mean of its divisors is an integer number (1828698300).

Almost surely, 2^579748972320 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 579748972320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1228885257600).

579748972320 is an abundant number, since it is smaller than the sum of its proper divisors (1878021542880).

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

579748972320 is an equidigital number, since it uses as much as digits as its factorization.

579748972320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 434 (or 397 counting only the distinct ones).

The product of its (nonzero) digits is 53343360, while the sum is 63.

The spelling of 579748972320 in words is "five hundred seventy-nine billion, seven hundred forty-eight million, nine hundred seventy-two thousand, three hundred twenty".