18004766400 has 336 divisors, whose sum is σ = 65854356480. Its totient is φ = 4785177600.

The previous prime is 18004766399. The next prime is 18004766441. The reversal of 18004766400 is 466740081.

18004766400 is a `hidden beast` number, since 1 + 8 + 0 + 0 + 4 + 7 + 6 + 640 + 0 = 666.

It is a super-2 number, since 2×18004766400² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 18618717 + ... + 18619683.

Almost surely, 2^18004766400 is an apocalyptic number.

18004766400 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 18004766400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32927178240).

18004766400 is an abundant number, since it is smaller than the sum of its proper divisors (47849590080).

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

18004766400 is a wasteful number, since it uses less digits than its factorization.

18004766400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1429 (or 1408 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The spelling of 18004766400 in words is "eighteen billion, four million, seven hundred sixty-six thousand, four hundred".