718730928400 has 405 divisors, whose sum is σ = 1924939075311. Its totient is φ = 257833635840.

The previous prime is 718730928397. The next prime is 718730928427. The reversal of 718730928400 is 4829037817.

The square root of 718730928400 is 847780.

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

It can be written as a sum of positive squares in 4 ways, for example, as 26427054096 + 692303874304 = 162564^2 + 832048^2 .

It is a Duffinian number.

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, 7409597152 + ... + 7409597248.

Almost surely, 2^718730928400 is an apocalyptic number.

718730928400 is the 847780-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 718730928400

718730928400 is an abundant number, since it is smaller than the sum of its proper divisors (1206208146911).

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

718730928400 is a wasteful number, since it uses less digits than its factorization.

718730928400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 296 (or 146 counting only the distinct ones).

The product of its (nonzero) digits is 677376, while the sum is 49.

Multiplying 718730928400 by its sum of digits (49), we get a square (35217815491600 = 5934460²).

The spelling of 718730928400 in words is "seven hundred eighteen billion, seven hundred thirty million, nine hundred twenty-eight thousand, four hundred".