679659956976 has 320 divisors, whose sum is σ = 2459922554880. Its totient is φ = 155870161920.

The previous prime is 679659956951. The next prime is 679659956981.

679659956976 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (84).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 797595 + ... + 1412613.

It is an arithmetic number, because the mean of its divisors is an integer number (7687257984).

Almost surely, 2^679659956976 is an apocalyptic number.

679659956976 is a gapful number since it is divisible by the number (66) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 679659956976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1229961277440).

679659956976 is an abundant number, since it is smaller than the sum of its proper divisors (1780262597904).

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

679659956976 is a wasteful number, since it uses less digits than its factorization.

679659956976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 615084 (or 615078 counting only the distinct ones).

The product of its digits is 10416243600, while the sum is 84.

The spelling of 679659956976 in words is "six hundred seventy-nine billion, six hundred fifty-nine million, nine hundred fifty-six thousand, nine hundred seventy-six".