18387793304320 has 864 divisors, whose sum is σ = 52974864069120. Its totient is φ = 6093373440000.

The previous prime is 18387793304273. The next prime is 18387793304329. The reversal of 18387793304320 is 2340339778381.

It is a super-2 number, since 2×18387793304320² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (58).

It is not an unprimeable number, because it can be changed into a prime (18387793304329) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 5708720310 + ... + 5708723530.

It is an arithmetic number, because the mean of its divisors is an integer number (61313500080).

Almost surely, 2^{18387793304320} is an apocalyptic number.

18387793304320 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 18387793304320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26487432034560).

18387793304320 is an abundant number, since it is smaller than the sum of its proper divisors (34587070764800).

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

18387793304320 is a wasteful number, since it uses less digits than its factorization.

18387793304320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3365 (or 3340 counting only the distinct ones).

The product of its (nonzero) digits is 18289152, while the sum is 58.

The spelling of 18387793304320 in words is "eighteen trillion, three hundred eighty-seven billion, seven hundred ninety-three million, three hundred four thousand, three hundred twenty".