716558864004 has 243 divisors, whose sum is σ = 1980163357263. Its totient is φ = 218437115904.

The previous prime is 716558863967. The next prime is 716558864023. The reversal of 716558864004 is 400468855617.

The square root of 716558864004 is 846498.

It is a perfect power (a square), and thus also a powerful number.

716558864004 is a `hidden beast` number, since 7 + 1 + 6 + 558 + 86 + 4 + 0 + 0 + 4 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 436726404 + 716122137600 = 20898^2 + 846240^2 .

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 80 ways as a sum of consecutive naturals, for example, 3712740132 + ... + 3712740324.

Almost surely, 2^716558864004 is an apocalyptic number.

716558864004 is the 846498-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 716558864004

716558864004 is an abundant number, since it is smaller than the sum of its proper divisors (1263604493259).

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

716558864004 is a wasteful number, since it uses less digits than its factorization.

716558864004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 516 (or 258 counting only the distinct ones).

The product of its (nonzero) digits is 6451200, while the sum is 54.

The spelling of 716558864004 in words is "seven hundred sixteen billion, five hundred fifty-eight million, eight hundred sixty-four thousand, four".