679993275312 has 180 divisors, whose sum is σ = 2085518471400. Its totient is φ = 206707258368.

The previous prime is 679993275289. The next prime is 679993275341. The reversal of 679993275312 is 213572399976.

679993275312 is a `hidden beast` number, since 6 + 7 + 9 + 9 + 93 + 2 + 7 + 531 + 2 = 666.

679993275312 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 679993275312.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1851564 + ... + 2188212.

It is an arithmetic number, because the mean of its divisors is an integer number (11586213730).

Almost surely, 2^679993275312 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 679993275312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1042759235700).

679993275312 is an abundant number, since it is smaller than the sum of its proper divisors (1405525196088).

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

679993275312 is a wasteful number, since it uses less digits than its factorization.

679993275312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 336772 (or 336750 counting only the distinct ones).

The product of its digits is 38578680, while the sum is 63.

The spelling of 679993275312 in words is "six hundred seventy-nine billion, nine hundred ninety-three million, two hundred seventy-five thousand, three hundred twelve".