716323507080768 has 336 divisors, whose sum is σ = 2252398934288880. Its totient is φ = 216647332134912.

The previous prime is 716323507080767. The next prime is 716323507080773. The reversal of 716323507080768 is 867080705323617.

716323507080768 is a `hidden beast` number, since 7 + 1 + 63 + 2 + 3 + 507 + 0 + 8 + 0 + 7 + 68 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 39899536625664 + 676423970455104 = 6316608^2 + 26008152^2 .

It is not an unprimeable number, because it can be changed into a prime (716323507080767) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 183499596 + ... + 187362612.

Almost surely, 2^{716323507080768} 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 716323507080768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1126199467144440).

716323507080768 is an abundant number, since it is smaller than the sum of its proper divisors (1536075427208112).

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

716323507080768 is a wasteful number, since it uses less digits than its factorization.

716323507080768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3863734 (or 3863721 counting only the distinct ones).

The product of its (nonzero) digits is 71124480, while the sum is 63.

The spelling of 716323507080768 in words is "seven hundred sixteen trillion, three hundred twenty-three billion, five hundred seven million, eighty thousand, seven hundred sixty-eight".