718944992640 has 1024 divisors, whose sum is σ = 3097663948800. Its totient is φ = 153837895680.

The previous prime is 718944992627. The next prime is 718944992663. The reversal of 718944992640 is 46299449817.

718944992640 is a `hidden beast` number, since 7 + 1 + 89 + 4 + 499 + 2 + 64 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 433882692 + ... + 433884348.

It is an arithmetic number, because the mean of its divisors is an integer number (3025062450).

Almost surely, 2^718944992640 is an apocalyptic number.

718944992640 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 718944992640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1548831974400).

718944992640 is an abundant number, since it is smaller than the sum of its proper divisors (2378718956160).

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

718944992640 is a wasteful number, since it uses less digits than its factorization.

718944992640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1920 (or 1902 counting only the distinct ones).

The product of its (nonzero) digits is 31352832, while the sum is 63.

The spelling of 718944992640 in words is "seven hundred eighteen billion, nine hundred forty-four million, nine hundred ninety-two thousand, six hundred forty".