712793664 has 336 divisors, whose sum is σ = 2434498560. Its totient is φ = 196992000.

The previous prime is 712793657. The next prime is 712793677. The reversal of 712793664 is 466397217.

712793664 is nontrivially palindromic in base 7.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

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, 3731809 + ... + 3731999.

Almost surely, 2^712793664 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 712793664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1217249280).

712793664 is an abundant number, since it is smaller than the sum of its proper divisors (1721704896).

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

712793664 is a wasteful number, since it uses less digits than its factorization.

712793664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 270 (or 257 counting only the distinct ones).

The product of its digits is 381024, while the sum is 45.

The square root of 712793664 is about 26698.1958941049. The cubic root of 712793664 is about 893.2806849990.

The spelling of 712793664 in words is "seven hundred twelve million, seven hundred ninety-three thousand, six hundred sixty-four".