712318464 has 480 divisors, whose sum is σ = 2573835264. Its totient is φ = 186531840.

The previous prime is 712318457. The next prime is 712318499. The reversal of 712318464 is 464813217.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 15155689 + ... + 15155735.

Almost surely, 2^712318464 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 712318464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1286917632).

712318464 is an abundant number, since it is smaller than the sum of its proper divisors (1861516800).

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

712318464 is a wasteful number, since it uses less digits than its factorization.

712318464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 118 (or 99 counting only the distinct ones).

The product of its digits is 32256, while the sum is 36.

The square root of 712318464 is about 26689.2949326130. The cubic root of 712318464 is about 893.0821322859.

The spelling of 712318464 in words is "seven hundred twelve million, three hundred eighteen thousand, four hundred sixty-four".