712357807344 has 320 divisors, whose sum is σ = 2135476892160. Its totient is φ = 203166351360.

The previous prime is 712357807331. The next prime is 712357807373. The reversal of 712357807344 is 443708753217.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a congruent number.

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, 41867799 + ... + 41884809.

It is an arithmetic number, because the mean of its divisors is an integer number (6673365288).

Almost surely, 2^712357807344 is an apocalyptic number.

712357807344 is a gapful number since it is divisible by the number (74) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 712357807344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1067738446080).

712357807344 is an abundant number, since it is smaller than the sum of its proper divisors (1423119084816).

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

712357807344 is a wasteful number, since it uses less digits than its factorization.

712357807344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17168 (or 17162 counting only the distinct ones).

The product of its (nonzero) digits is 3951360, while the sum is 51.

The spelling of 712357807344 in words is "seven hundred twelve billion, three hundred fifty-seven million, eight hundred seven thousand, three hundred forty-four".