713957123264 has 448 divisors, whose sum is σ = 1877685043200. Its totient is φ = 266716800000.

The previous prime is 713957123237. The next prime is 713957123329. The reversal of 713957123264 is 462321759317.

It is a tau number, because it is divible by the number of its divisors (448).

It is a super-3 number, since 3×713957123264³ (a number of 37 digits) contains 333 as substring.

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, 950674889 + ... + 950675639.

Almost surely, 2^713957123264 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 713957123264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (938842521600).

713957123264 is an abundant number, since it is smaller than the sum of its proper divisors (1163727919936).

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

713957123264 is a wasteful number, since it uses less digits than its factorization.

713957123264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 953 (or 929 counting only the distinct ones).

The product of its digits is 1905120, while the sum is 50.

The spelling of 713957123264 in words is "seven hundred thirteen billion, nine hundred fifty-seven million, one hundred twenty-three thousand, two hundred sixty-four".