18678720160800 has 576 divisors, whose sum is σ = 77251933059840. Its totient is φ = 4266847272960.

The previous prime is 18678720160703. The next prime is 18678720160811. The reversal of 18678720160800 is 806102787681.

It is a happy number.

18678720160800 is a `hidden beast` number, since 1 + 8 + 6 + 7 + 8 + 7 + 20 + 1 + 608 + 0 + 0 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 256550002 + ... + 256622798.

It is an arithmetic number, because the mean of its divisors is an integer number (134117939340).

Almost surely, 2^{18678720160800} is an apocalyptic number.

18678720160800 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 18678720160800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38625966529920).

18678720160800 is an abundant number, since it is smaller than the sum of its proper divisors (58573212899040).

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

18678720160800 is a wasteful number, since it uses less digits than its factorization.

18678720160800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 74530 (or 74511 counting only the distinct ones).

The product of its (nonzero) digits is 1806336, while the sum is 54.

The spelling of 18678720160800 in words is "eighteen trillion, six hundred seventy-eight billion, seven hundred twenty million, one hundred sixty thousand, eight hundred".