712564380 has 144 divisors (see below), whose sum is σ = 2460616704. Its totient is φ = 165221760.

The previous prime is 712564373. The next prime is 712564421. The reversal of 712564380 is 83465217.

712564380 is a `hidden beast` number, since 7 + 1 + 2 + 5 + 643 + 8 + 0 = 666.

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 pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 37717 + ... + 53363.

It is an arithmetic number, because the mean of its divisors is an integer number (17087616).

Almost surely, 2^712564380 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 712564380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1230308352).

712564380 is an abundant number, since it is smaller than the sum of its proper divisors (1748052324).

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

712564380 is a wasteful number, since it uses less digits than its factorization.

712564380 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15696 (or 15691 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 712564380 is about 26693.9015507288. The cubic root of 712564380 is about 893.1848943358.

The spelling of 712564380 in words is "seven hundred twelve million, five hundred sixty-four thousand, three hundred eighty".