679508953344 has 720 divisors, whose sum is σ = 2243723328000. Its totient is φ = 203249958912.

The previous prime is 679508953307. The next prime is 679508953373. The reversal of 679508953344 is 443359805976.

679508953344 is a `hidden beast` number, since 6 + 7 + 9 + 50 + 8 + 9 + 533 + 44 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 2843133577 + ... + 2843133815.

It is an arithmetic number, because the mean of its divisors is an integer number (3116282400).

Almost surely, 2^679508953344 is an apocalyptic number.

679508953344 is a gapful number since it is divisible by the number (64) 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 679508953344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1121861664000).

679508953344 is an abundant number, since it is smaller than the sum of its proper divisors (1564214374656).

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

679508953344 is a wasteful number, since it uses less digits than its factorization.

679508953344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 532 (or 509 counting only the distinct ones).

The product of its (nonzero) digits is 97977600, while the sum is 63.

The spelling of 679508953344 in words is "six hundred seventy-nine billion, five hundred eight million, nine hundred fifty-three thousand, three hundred forty-four".