713091517920 has 384 divisors, whose sum is σ = 2606305766400. Its totient is φ = 181752367104.

The previous prime is 713091517913. The next prime is 713091517949. The reversal of 713091517920 is 29715190317.

It is a happy number.

It is a super-2 number, since 2×713091517920² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 225446259 + ... + 225449421.

It is an arithmetic number, because the mean of its divisors is an integer number (6787254600).

Almost surely, 2^713091517920 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 713091517920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1303152883200).

713091517920 is an abundant number, since it is smaller than the sum of its proper divisors (1893214248480).

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

713091517920 is a wasteful number, since it uses less digits than its factorization.

713091517920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5479 (or 5465 counting only the distinct ones).

The product of its (nonzero) digits is 119070, while the sum is 45.

The spelling of 713091517920 in words is "seven hundred thirteen billion, ninety-one million, five hundred seventeen thousand, nine hundred twenty".