18032284800 has 480 divisors, whose sum is σ = 67525426980. Its totient is φ = 4737761280.

The previous prime is 18032284789. The next prime is 18032284819. The reversal of 18032284800 is 848223081.

It is a happy number.

18032284800 is a `hidden beast` number, since 180 + 322 + 84 + 80 + 0 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 6352727616 + 11679557184 = 79704^2 + 108072^2 .

It is a tau number, because it is divible by the number of its divisors (480).

It is a super-2 number, since 2×18032284800² (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 59 ways as a sum of consecutive naturals, for example, 18921124 + ... + 18922076.

Almost surely, 2^18032284800 is an apocalyptic number.

18032284800 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 18032284800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33762713490).

18032284800 is an abundant number, since it is smaller than the sum of its proper divisors (49493142180).

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

18032284800 is an equidigital number, since it uses as much as digits as its factorization.

18032284800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1062 (or 1036 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 36.

The spelling of 18032284800 in words is "eighteen billion, thirty-two million, two hundred eighty-four thousand, eight hundred".