712973352960 has 1296 divisors, whose sum is σ = 2893517656848. Its totient is φ = 168170618880.

The previous prime is 712973352937. The next prime is 712973352977. The reversal of 712973352960 is 69253379217.

712973352960 is a `hidden beast` number, since 7 + 1 + 29 + 7 + 33 + 529 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (1296).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 712973352897 and 712973352906.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 19269550062 + ... + 19269550098.

It is an arithmetic number, because the mean of its divisors is an integer number (2232652513).

Almost surely, 2^712973352960 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 712973352960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1446758828424).

712973352960 is an abundant number, since it is smaller than the sum of its proper divisors (2180544303888).

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

712973352960 is an frugal number, since it uses more digits than its factorization.

712973352960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 113 (or 58 counting only the distinct ones).

The product of its (nonzero) digits is 4286520, while the sum is 54.

The spelling of 712973352960 in words is "seven hundred twelve billion, nine hundred seventy-three million, three hundred fifty-two thousand, nine hundred sixty".