679127824368 has 800 divisors, whose sum is σ = 2364534374400. Its totient is φ = 184166535168.

The previous prime is 679127824351. The next prime is 679127824379. The reversal of 679127824368 is 863428721976.

679127824368 is a `hidden beast` number, since 6 + 79 + 127 + 8 + 2 + 436 + 8 = 666.

It is a super-2 number, since 2×679127824368² (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 a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 3794010103 + ... + 3794010281.

It is an arithmetic number, because the mean of its divisors is an integer number (2955667968).

Almost surely, 2^679127824368 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 679127824368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1182267187200).

679127824368 is an abundant number, since it is smaller than the sum of its proper divisors (1685406550032).

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

679127824368 is a wasteful number, since it uses less digits than its factorization.

679127824368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 459 (or 444 counting only the distinct ones).

The product of its digits is 48771072, while the sum is 63.

The spelling of 679127824368 in words is "six hundred seventy-nine billion, one hundred twenty-seven million, eight hundred twenty-four thousand, three hundred sixty-eight".