18379033689600 has 1080 divisors, whose sum is σ = 72133255743120. Its totient is φ = 4453316689920.

The previous prime is 18379033689503. The next prime is 18379033689649. The reversal of 18379033689600 is 698633097381.

18379033689600 is a `hidden beast` number, since 1 + 83 + 7 + 90 + 336 + 89 + 60 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 1647008821 + ... + 1647019979.

It is an arithmetic number, because the mean of its divisors is an integer number (66790051614).

Almost surely, 2^{18379033689600} is an apocalyptic number.

18379033689600 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 18379033689600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36066627871560).

18379033689600 is an abundant number, since it is smaller than the sum of its proper divisors (53754222053520).

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

18379033689600 is a wasteful number, since it uses less digits than its factorization.

18379033689600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11268 (or 11215 counting only the distinct ones).

The product of its (nonzero) digits is 35271936, while the sum is 63.

The spelling of 18379033689600 in words is "eighteen trillion, three hundred seventy-nine billion, thirty-three million, six hundred eighty-nine thousand, six hundred".