712691527680 has 2496 divisors, whose sum is σ = 3179565342720. Its totient is φ = 145332633600.

The previous prime is 712691527661. The next prime is 712691527753. The reversal of 712691527680 is 86725196217.

712691527680 is a `hidden beast` number, since 7 + 1 + 26 + 91 + 527 + 6 + 8 + 0 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 22990049265 + ... + 22990049295.

It is an arithmetic number, because the mean of its divisors is an integer number (1273864320).

Almost surely, 2^712691527680 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 712691527680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1589782671360).

712691527680 is an abundant number, since it is smaller than the sum of its proper divisors (2466873815040).

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

712691527680 is a wasteful number, since it uses less digits than its factorization.

712691527680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 146 (or 121 counting only the distinct ones).

The product of its (nonzero) digits is 2540160, while the sum is 54.

The spelling of 712691527680 in words is "seven hundred twelve billion, six hundred ninety-one million, five hundred twenty-seven thousand, six hundred eighty".