718028540669664 has 1152 divisors, whose sum is σ = 2577099984076800. Its totient is φ = 193668873108480.

The previous prime is 718028540669651. The next prime is 718028540669683. The reversal of 718028540669664 is 466966045820817.

It is a happy number.

718028540669664 is a `hidden beast` number, since 7 + 1 + 80 + 2 + 85 + 406 + 6 + 9 + 6 + 64 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 718028540669592 and 718028540669601.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 9056943177 + ... + 9057022455.

It is an arithmetic number, because the mean of its divisors is an integer number (2237065958400).

Almost surely, 2^{718028540669664} 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 718028540669664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1288549992038400).

718028540669664 is an abundant number, since it is smaller than the sum of its proper divisors (1859071443407136).

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

718028540669664 is a wasteful number, since it uses less digits than its factorization.

718028540669664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 79513 (or 79492 counting only the distinct ones).

The product of its (nonzero) digits is 836075520, while the sum is 72.

The spelling of 718028540669664 in words is "seven hundred eighteen trillion, twenty-eight billion, five hundred forty million, six hundred sixty-nine thousand, six hundred sixty-four".