18072384000 has 640 divisors, whose sum is σ = 67409971200. Its totient is φ = 4257792000.

The previous prime is 18072383993. The next prime is 18072384019. The reversal of 18072384000 is 48327081.

It is a tau number, because it is divible by the number of its divisors (640).

It is a super-2 number, since 2×18072384000² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 90815901 + ... + 90816099.

It is an arithmetic number, because the mean of its divisors is an integer number (105328080).

Almost surely, 2^18072384000 is an apocalyptic number.

18072384000 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 18072384000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33704985600).

18072384000 is an abundant number, since it is smaller than the sum of its proper divisors (49337587200).

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

18072384000 is a wasteful number, since it uses less digits than its factorization.

18072384000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 289 (or 263 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 33.

The spelling of 18072384000 in words is "eighteen billion, seventy-two million, three hundred eighty-four thousand".