679362137344800 has 2160 divisors, whose sum is σ = 3108721199234112. Its totient is φ = 143105298739200.

The previous prime is 679362137344777. The next prime is 679362137344801. The reversal of 679362137344800 is 8443731263976.

It is a happy number.

679362137344800 is a `hidden beast` number, since 6 + 7 + 93 + 6 + 2 + 1 + 37 + 34 + 480 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2160).

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

It is not an unprimeable number, because it can be changed into a prime (679362137344801) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 359 ways as a sum of consecutive naturals, for example, 26046152559 + ... + 26046178641.

Almost surely, 2^{679362137344800} is an apocalyptic number.

679362137344800 is a gapful number since it is divisible by the number (60) 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 679362137344800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1554360599617056).

679362137344800 is an abundant number, since it is smaller than the sum of its proper divisors (2429359061889312).

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

679362137344800 is a wasteful number, since it uses less digits than its factorization.

679362137344800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26773 (or 26744 counting only the distinct ones).

The product of its (nonzero) digits is 109734912, while the sum is 63.

The spelling of 679362137344800 in words is "six hundred seventy-nine trillion, three hundred sixty-two billion, one hundred thirty-seven million, three hundred forty-four thousand, eight hundred".