679796076960 has 1152 divisors, whose sum is σ = 3230246283264. Its totient is φ = 130382991360.

The previous prime is 679796076931. The next prime is 679796076991. The reversal of 679796076960 is 69670697976.

679796076960 is a `hidden beast` number, since 6 + 7 + 9 + 7 + 9 + 607 + 6 + 9 + 6 + 0 = 666.

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 191 ways as a sum of consecutive naturals, for example, 38910147 + ... + 38927613.

It is an arithmetic number, because the mean of its divisors is an integer number (2804033232).

Almost surely, 2^679796076960 is an apocalyptic number.

679796076960 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 679796076960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1615123141632).

679796076960 is an abundant number, since it is smaller than the sum of its proper divisors (2550450206304).

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

679796076960 is a wasteful number, since it uses less digits than its factorization.

679796076960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17528 (or 17508 counting only the distinct ones).

The product of its (nonzero) digits is 324060912, while the sum is 72.

The spelling of 679796076960 in words is "six hundred seventy-nine billion, seven hundred ninety-six million, seventy-six thousand, nine hundred sixty".