679718814720 has 352 divisors, whose sum is σ = 2404210343040. Its totient is φ = 162520104960.

The previous prime is 679718814673. The next prime is 679718814739. The reversal of 679718814720 is 27418817976.

It is a tau number, because it is divible by the number of its divisors (352).

It is a Smith number, since the sum of its digits (60) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 12306526 + ... + 12361634.

It is an arithmetic number, because the mean of its divisors is an integer number (6830143020).

Almost surely, 2^679718814720 is an apocalyptic number.

679718814720 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 679718814720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1202105171520).

679718814720 is an abundant number, since it is smaller than the sum of its proper divisors (1724491528320).

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

679718814720 is a wasteful number, since it uses less digits than its factorization.

679718814720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 55221 (or 55203 counting only the distinct ones).

The product of its (nonzero) digits is 9483264, while the sum is 60.

The spelling of 679718814720 in words is "six hundred seventy-nine billion, seven hundred eighteen million, eight hundred fourteen thousand, seven hundred twenty".