718747660800 has 720 divisors, whose sum is σ = 2792611261440. Its totient is φ = 175482961920.

The previous prime is 718747660789. The next prime is 718747660819. The reversal of 718747660800 is 8066747817.

It is a tau number, because it is divible by the number of its divisors (720).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 190193311 + ... + 190197089.

It is an arithmetic number, because the mean of its divisors is an integer number (3878626752).

Almost surely, 2^718747660800 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 718747660800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1396305630720).

718747660800 is an abundant number, since it is smaller than the sum of its proper divisors (2073863600640).

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

718747660800 is a wasteful number, since it uses less digits than its factorization.

718747660800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3953 (or 3929 counting only the distinct ones).

The product of its (nonzero) digits is 3161088, while the sum is 54.

The spelling of 718747660800 in words is "seven hundred eighteen billion, seven hundred forty-seven million, six hundred sixty thousand, eight hundred".