718118485920 has 720 divisors, whose sum is σ = 2815016012424. Its totient is φ = 172258099200.

The previous prime is 718118485891. The next prime is 718118485927. The reversal of 718118485920 is 29584811817.

718118485920 is a `hidden beast` number, since 7 + 1 + 8 + 1 + 1 + 8 + 48 + 592 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 571481569296 + 146636916624 = 755964^2 + 382932^2 .

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

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (718118485927) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 152109160 + ... + 152113880.

Almost surely, 2^718118485920 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 718118485920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1407508006212).

718118485920 is an abundant number, since it is smaller than the sum of its proper divisors (2096897526504).

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

718118485920 is a wasteful number, since it uses less digits than its factorization.

718118485920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4867 (or 4839 counting only the distinct ones).

The product of its (nonzero) digits is 1290240, while the sum is 54.

The spelling of 718118485920 in words is "seven hundred eighteen billion, one hundred eighteen million, four hundred eighty-five thousand, nine hundred twenty".