679419731160576 has 640 divisors, whose sum is σ = 2435683006310400. Its totient is φ = 182854732677120.

The previous prime is 679419731160551. The next prime is 679419731160587. The reversal of 679419731160576 is 675061137914976.

679419731160576 is a `hidden beast` number, since 6 + 7 + 9 + 4 + 1 + 9 + 7 + 3 + 1 + 1 + 605 + 7 + 6 = 666.

It is a super-2 number, since 2×679419731160576² (a number of 30 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 112104621 + ... + 118009683.

It is an arithmetic number, because the mean of its divisors is an integer number (3805754697360).

Almost surely, 2^{679419731160576} 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 679419731160576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1217841503155200).

679419731160576 is an abundant number, since it is smaller than the sum of its proper divisors (1756263275149824).

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

679419731160576 is a wasteful number, since it uses less digits than its factorization.

679419731160576 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5905167 (or 5905145 counting only the distinct ones).

The product of its (nonzero) digits is 360067680, while the sum is 72.

The spelling of 679419731160576 in words is "six hundred seventy-nine trillion, four hundred nineteen billion, seven hundred thirty-one million, one hundred sixty thousand, five hundred seventy-six".