18032968800 has 648 divisors, whose sum is σ = 79907104368. Its totient is φ = 3745843200.

The previous prime is 18032968769. The next prime is 18032968879. The reversal of 18032968800 is 886923081.

It is a Harshad number since it is a multiple of its sum of digits (45).

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 107 ways as a sum of consecutive naturals, for example, 6096922 + ... + 6099878.

Almost surely, 2^18032968800 is an apocalyptic number.

18032968800 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 18032968800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39953552184).

18032968800 is an abundant number, since it is smaller than the sum of its proper divisors (61874135568).

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

18032968800 is a wasteful number, since it uses less digits than its factorization.

18032968800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3012 (or 2985 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 45.

The spelling of 18032968800 in words is "eighteen billion, thirty-two million, nine hundred sixty-eight thousand, eight hundred".