713757817920 has 672 divisors, whose sum is σ = 2726635022208. Its totient is φ = 157640491008.

The previous prime is 713757817811. The next prime is 713757817931. The reversal of 713757817920 is 29718757317.

713757817920 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (672).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 167036904 + ... + 167041176.

Almost surely, 2^713757817920 is an apocalyptic number.

713757817920 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 713757817920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1363317511104).

713757817920 is an abundant number, since it is smaller than the sum of its proper divisors (2012877204288).

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

713757817920 is a wasteful number, since it uses less digits than its factorization.

713757817920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4427 (or 4410 counting only the distinct ones).

The product of its (nonzero) digits is 5186160, while the sum is 57.

The spelling of 713757817920 in words is "seven hundred thirteen billion, seven hundred fifty-seven million, eight hundred seventeen thousand, nine hundred twenty".