679907854280928 has 2304 divisors, whose sum is σ = 2415407364034560. Its totient is φ = 163949101056000.

The previous prime is 679907854280909. The next prime is 679907854281043. The reversal of 679907854280928 is 829082458709976.

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 383 ways as a sum of consecutive naturals, for example, 3930103203850 + ... + 3930103204022.

It is an arithmetic number, because the mean of its divisors is an integer number (1048353890640).

Almost surely, 2^{679907854280928} is an apocalyptic number.

679907854280928 is a gapful number since it is divisible by the number (68) 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 679907854280928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1207703682017280).

679907854280928 is an abundant number, since it is smaller than the sum of its proper divisors (1735499509753632).

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

679907854280928 is a wasteful number, since it uses less digits than its factorization.

679907854280928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 478 (or 427 counting only the distinct ones).

The product of its (nonzero) digits is 8778792960, while the sum is 84.

The spelling of 679907854280928 in words is "six hundred seventy-nine trillion, nine hundred seven billion, eight hundred fifty-four million, two hundred eighty thousand, nine hundred twenty-eight".