712797959664 has 240 divisors, whose sum is σ = 2381212592640. Its totient is φ = 203555721600.

The previous prime is 712797959659. The next prime is 712797959689. The reversal of 712797959664 is 466959797217.

712797959664 is a `hidden beast` number, since 7 + 1 + 27 + 9 + 7 + 9 + 596 + 6 + 4 = 666.

It is a super-3 number, since 3×712797959664³ (a number of 37 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 712797959592 and 712797959601.

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, 49758807 + ... + 49773129.

It is an arithmetic number, because the mean of its divisors is an integer number (9921719136).

Almost surely, 2^712797959664 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 712797959664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1190606296320).

712797959664 is an abundant number, since it is smaller than the sum of its proper divisors (1668414632976).

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

712797959664 is a wasteful number, since it uses less digits than its factorization.

712797959664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16705 (or 16686 counting only the distinct ones).

The product of its digits is 360067680, while the sum is 72.

The spelling of 712797959664 in words is "seven hundred twelve billion, seven hundred ninety-seven million, nine hundred fifty-nine thousand, six hundred sixty-four".