712674816672 has 192 divisors, whose sum is σ = 2310689735424. Its totient is φ = 187288657920.

The previous prime is 712674816661. The next prime is 712674816677. The reversal of 712674816672 is 276618476217.

It is a Smith number, since the sum of its digits (57) coincides with the sum of the digits of its prime factors.

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (712674816677) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2309658 + ... + 2599974.

It is an arithmetic number, because the mean of its divisors is an integer number (12034842372).

Almost surely, 2^712674816672 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 712674816672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1155344867712).

712674816672 is an abundant number, since it is smaller than the sum of its proper divisors (1598014918752).

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

712674816672 is a wasteful number, since it uses less digits than its factorization.

712674816672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 290631 (or 290623 counting only the distinct ones).

The product of its digits is 9483264, while the sum is 57.

The spelling of 712674816672 in words is "seven hundred twelve billion, six hundred seventy-four million, eight hundred sixteen thousand, six hundred seventy-two".