18066812400 has 960 divisors, whose sum is σ = 81834762240. Its totient is φ = 3682713600.

The previous prime is 18066812389. The next prime is 18066812429. The reversal of 18066812400 is 421866081.

18066812400 is a `hidden beast` number, since 180 + 6 + 68 + 12 + 400 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 30466504 + ... + 30467096.

It is an arithmetic number, because the mean of its divisors is an integer number (85244544).

Almost surely, 2^18066812400 is an apocalyptic number.

18066812400 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 18066812400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40917381120).

18066812400 is an abundant number, since it is smaller than the sum of its proper divisors (63767949840).

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

18066812400 is a wasteful number, since it uses less digits than its factorization.

18066812400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 671 (or 654 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

It can be divided in two parts, 1806681 and 2400, that added together give a palindrome (1809081).

The spelling of 18066812400 in words is "eighteen billion, sixty-six million, eight hundred twelve thousand, four hundred".