18686478720 has 768 divisors, whose sum is σ = 77770022400. Its totient is φ = 3726508032.

The previous prime is 18686478703. The next prime is 18686478749. The reversal of 18686478720 is 2787468681.

It is a happy number.

It is a Smith number, since the sum of its digits (57) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 43155624 + ... + 43156056.

It is an arithmetic number, because the mean of its divisors is an integer number (101263050).

Almost surely, 2^18686478720 is an apocalyptic number.

18686478720 is a gapful number since it is divisible by the number (10) 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 18686478720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38885011200).

18686478720 is an abundant number, since it is smaller than the sum of its proper divisors (59083543680).

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

18686478720 is a wasteful number, since it uses less digits than its factorization.

18686478720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 507 (or 482 counting only the distinct ones).

The product of its (nonzero) digits is 7225344, while the sum is 57.

The spelling of 18686478720 in words is "eighteen billion, six hundred eighty-six million, four hundred seventy-eight thousand, seven hundred twenty".