713157880032 has 480 divisors, whose sum is σ = 2293669224000. Its totient is φ = 216059830272.

The previous prime is 713157880031. The next prime is 713157880069. The reversal of 713157880032 is 230088751317.

713157880032 is a `hidden beast` number, since 71 + 3 + 1 + 578 + 8 + 0 + 0 + 3 + 2 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 713157880032.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (713157880031) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1190580469 + ... + 1190581067.

It is an arithmetic number, because the mean of its divisors is an integer number (4778477550).

Almost surely, 2^713157880032 is an apocalyptic number.

713157880032 is a gapful number since it is divisible by the number (72) 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 713157880032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1146834612000).

713157880032 is an abundant number, since it is smaller than the sum of its proper divisors (1580511343968).

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

713157880032 is a wasteful number, since it uses less digits than its factorization.

713157880032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1120 (or 1103 counting only the distinct ones).

The product of its (nonzero) digits is 282240, while the sum is 45.

The spelling of 713157880032 in words is "seven hundred thirteen billion, one hundred fifty-seven million, eight hundred eighty thousand, thirty-two".