679907526912 has 288 divisors, whose sum is σ = 2079192447360. Its totient is φ = 219032985600.

The previous prime is 679907526869. The next prime is 679907526913. The reversal of 679907526912 is 219625709976.

679907526912 is a `hidden beast` number, since 6 + 7 + 9 + 90 + 7 + 526 + 9 + 12 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Smith number, since the sum of its digits (63) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 679907526912.

It is not an unprimeable number, because it can be changed into a prime (679907526913) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 24530662 + ... + 24558362.

It is an arithmetic number, because the mean of its divisors is an integer number (7219418220).

Almost surely, 2^679907526912 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 679907526912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1039596223680).

679907526912 is an abundant number, since it is smaller than the sum of its proper divisors (1399284920448).

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

679907526912 is a wasteful number, since it uses less digits than its factorization.

679907526912 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27846 (or 27826 counting only the distinct ones).

The product of its (nonzero) digits is 25719120, while the sum is 63.

The spelling of 679907526912 in words is "six hundred seventy-nine billion, nine hundred seven million, five hundred twenty-six thousand, nine hundred twelve".