679932035104896 has 640 divisors, whose sum is σ = 2334258159024000. Its totient is φ = 192442070384640.

The previous prime is 679932035104891. The next prime is 679932035104909. The reversal of 679932035104896 is 698401530239976.

679932035104896 is a `hidden beast` number, since 6 + 7 + 9 + 9 + 3 + 20 + 3 + 510 + 4 + 89 + 6 = 666.

It is a Smith number, since the sum of its digits (72) coincides with the sum of the digits of its prime factors.

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

It is not an unprimeable number, because it can be changed into a prime (679932035104891) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 63373285260 + ... + 63373295988.

It is an arithmetic number, because the mean of its divisors is an integer number (3647278373475).

It is a 3-persistent number, because k⋅679932035104896 is pandigital for 1 ≤ k ≤ 3, but not for k = 4.

Almost surely, 2^{679932035104896} 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 679932035104896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1167129079512000).

679932035104896 is an abundant number, since it is smaller than the sum of its proper divisors (1654326123919104).

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

679932035104896 is a wasteful number, since it uses less digits than its factorization.

679932035104896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18882 (or 18861 counting only the distinct ones).

The product of its (nonzero) digits is 529079040, while the sum is 72.

The spelling of 679932035104896 in words is "six hundred seventy-nine trillion, nine hundred thirty-two billion, thirty-five million, one hundred four thousand, eight hundred ninety-six".