718975588423680 has 1440 divisors, whose sum is σ = 2910782525086800. Its totient is φ = 164122070482944.

The previous prime is 718975588423577. The next prime is 718975588423693. The reversal of 718975588423680 is 86324885579817.

718975588423680 is a `hidden beast` number, since 7 + 1 + 8 + 9 + 7 + 5 + 588 + 4 + 23 + 6 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

It is a self number, because there is not a number n which added to its sum of digits gives 718975588423680.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 220612329891 + ... + 220612333149.

It is a 1-persistent number, because it is pandigital, but 2⋅718975588423680 = 1437951176847360 is not.

Almost surely, 2^{718975588423680} is an apocalyptic number.

718975588423680 is a gapful number since it is divisible by the number (70) 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 718975588423680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1455391262543400).

718975588423680 is an abundant number, since it is smaller than the sum of its proper divisors (2191806936663120).

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

718975588423680 is an equidigital number, since it uses as much as digits as its factorization.

718975588423680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4317 (or 4273 counting only the distinct ones).

The product of its (nonzero) digits is 6502809600, while the sum is 81.

The spelling of 718975588423680 in words is "seven hundred eighteen trillion, nine hundred seventy-five billion, five hundred eighty-eight million, four hundred twenty-three thousand, six hundred eighty".