679118521032 has 768 divisors, whose sum is σ = 2364003532800. Its totient is φ = 178258268160.

The previous prime is 679118520959. The next prime is 679118521069. The reversal of 679118521032 is 230125811976.

679118521032 is a `hidden beast` number, since 6 + 7 + 9 + 118 + 521 + 0 + 3 + 2 = 666.

It is a super-2 number, since 2×679118521032² (a number of 24 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 2841499969 + ... + 2841500207.

It is an arithmetic number, because the mean of its divisors is an integer number (3078129600).

Almost surely, 2^679118521032 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 679118521032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1182001766400).

679118521032 is an abundant number, since it is smaller than the sum of its proper divisors (1684885011768).

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

679118521032 is a wasteful number, since it uses less digits than its factorization.

679118521032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 528 (or 512 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 45.

The spelling of 679118521032 in words is "six hundred seventy-nine billion, one hundred eighteen million, five hundred twenty-one thousand, thirty-two".