679649598720 has 1152 divisors, whose sum is σ = 2641394810880. Its totient is φ = 164826316800.

The previous prime is 679649598713. The next prime is 679649598781. The reversal of 679649598720 is 27895946976.

679649598720 is a `hidden beast` number, since 6 + 7 + 9 + 6 + 4 + 9 + 598 + 7 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 4169629359 + ... + 4169629521.

It is an arithmetic number, because the mean of its divisors is an integer number (2292877440).

Almost surely, 2^679649598720 is an apocalyptic number.

679649598720 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 679649598720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1320697405440).

679649598720 is an abundant number, since it is smaller than the sum of its proper divisors (1961745212160).

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

679649598720 is a wasteful number, since it uses less digits than its factorization.

679649598720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 408 (or 388 counting only the distinct ones).

The product of its (nonzero) digits is 411505920, while the sum is 72.

The spelling of 679649598720 in words is "six hundred seventy-nine billion, six hundred forty-nine million, five hundred ninety-eight thousand, seven hundred twenty".