712868734368 has 288 divisors, whose sum is σ = 2441657312640. Its totient is φ = 192727848960.

The previous prime is 712868734351. The next prime is 712868734397. The reversal of 712868734368 is 863437868217.

712868734368 is a `hidden beast` number, since 7 + 1 + 286 + 8 + 7 + 343 + 6 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Smith number, since the sum of its digits (63) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (63).

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

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 47 ways as a sum of consecutive naturals, for example, 33581998 + ... + 33603218.

It is an arithmetic number, because the mean of its divisors is an integer number (8477976780).

Almost surely, 2^712868734368 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 712868734368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1220828656320).

712868734368 is an abundant number, since it is smaller than the sum of its proper divisors (1728788578272).

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

712868734368 is a wasteful number, since it uses less digits than its factorization.

712868734368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22140 (or 22129 counting only the distinct ones).

The product of its digits is 65028096, while the sum is 63.

The spelling of 712868734368 in words is "seven hundred twelve billion, eight hundred sixty-eight million, seven hundred thirty-four thousand, three hundred sixty-eight".