716393200464 has 120 divisors (see below), whose sum is σ = 2028110895720. Its totient is φ = 236040044544.

The previous prime is 716393200429. The next prime is 716393200489. The reversal of 716393200464 is 464002393617.

716393200464 is a `hidden beast` number, since 7 + 1 + 639 + 3 + 2 + 0 + 0 + 4 + 6 + 4 = 666.

716393200464 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 176450403600 + 539942796864 = 420060^2 + 734808^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11268414 + ... + 11331810.

It is an arithmetic number, because the mean of its divisors is an integer number (16900924131).

Almost surely, 2^716393200464 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 716393200464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1014055447860).

716393200464 is an abundant number, since it is smaller than the sum of its proper divisors (1311717695256).

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

716393200464 is a wasteful number, since it uses less digits than its factorization.

716393200464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 64317 (or 64308 counting only the distinct ones).

The product of its (nonzero) digits is 653184, while the sum is 45.

The spelling of 716393200464 in words is "seven hundred sixteen billion, three hundred ninety-three million, two hundred thousand, four hundred sixty-four".