712677856680 has 192 divisors, whose sum is σ = 2391526425600. Its totient is φ = 183870167040.

The previous prime is 712677856679. The next prime is 712677856697. The reversal of 712677856680 is 86658776217.

712677856680 is a `hidden beast` number, since 7 + 1 + 2 + 67 + 7 + 8 + 566 + 8 + 0 = 666.

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, 75180181 + ... + 75189659.

It is an arithmetic number, because the mean of its divisors is an integer number (12455866800).

Almost surely, 2^712677856680 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 712677856680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1195763212800).

712677856680 is an abundant number, since it is smaller than the sum of its proper divisors (1678848568920).

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

712677856680 is a wasteful number, since it uses less digits than its factorization.

712677856680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16264 (or 16257 counting only the distinct ones).

The product of its (nonzero) digits is 47416320, while the sum is 63.

The spelling of 712677856680 in words is "seven hundred twelve billion, six hundred seventy-seven million, eight hundred fifty-six thousand, six hundred eighty".