679549917312 has 320 divisors, whose sum is σ = 2313591825600. Its totient is φ = 193959069696.

The previous prime is 679549917311. The next prime is 679549917341. The reversal of 679549917312 is 213719945976.

679549917312 is a `hidden beast` number, since 6 + 7 + 9 + 549 + 9 + 1 + 73 + 12 = 666.

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 Harshad number since it is a multiple of its sum of digits (63).

It is a self number, because there is not a number n which added to its sum of digits gives 679549917312.

It is not an unprimeable number, because it can be changed into a prime (679549917311) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 80482563 + ... + 80491005.

It is an arithmetic number, because the mean of its divisors is an integer number (7229974455).

Almost surely, 2^679549917312 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 679549917312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1156795912800).

679549917312 is an abundant number, since it is smaller than the sum of its proper divisors (1634041908288).

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

679549917312 is a wasteful number, since it uses less digits than its factorization.

679549917312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9585 (or 9564 counting only the distinct ones).

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

The spelling of 679549917312 in words is "six hundred seventy-nine billion, five hundred forty-nine million, nine hundred seventeen thousand, three hundred twelve".