712193664 has 256 divisors, whose sum is σ = 2364768000. Its totient is φ = 184909824.

The previous prime is 712193653. The next prime is 712193693. The reversal of 712193664 is 466391217.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3109902 + ... + 3110130.

It is an arithmetic number, because the mean of its divisors is an integer number (9237375).

Almost surely, 2^712193664 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 712193664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1182384000).

712193664 is an abundant number, since it is smaller than the sum of its proper divisors (1652574336).

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

712193664 is a wasteful number, since it uses less digits than its factorization.

712193664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 355 (or 343 counting only the distinct ones).

The product of its digits is 54432, while the sum is 39.

The square root of 712193664 is about 26686.9568141442. The cubic root of 712193664 is about 893.0299724886.

It can be divided in two parts, 712 and 193664, that added together give a triangular number (194376 = T₆₂₃).

The spelling of 712193664 in words is "seven hundred twelve million, one hundred ninety-three thousand, six hundred sixty-four".