579679168320 has 672 divisors, whose sum is σ = 2301710611200. Its totient is φ = 131168305152.

The previous prime is 579679168301. The next prime is 579679168337. The reversal of 579679168320 is 23861976975.

It is a tau number, because it is divible by the number of its divisors (672).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1417308276 + ... + 1417308684.

It is an arithmetic number, because the mean of its divisors is an integer number (3425164600).

Almost surely, 2^579679168320 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 579679168320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1150855305600).

579679168320 is an abundant number, since it is smaller than the sum of its proper divisors (1722031442880).

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

579679168320 is a wasteful number, since it uses less digits than its factorization.

579679168320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 975 (or 962 counting only the distinct ones).

The product of its (nonzero) digits is 34292160, while the sum is 63.

The spelling of 579679168320 in words is "five hundred seventy-nine billion, six hundred seventy-nine million, one hundred sixty-eight thousand, three hundred twenty".