18378360000 has 2240 divisors, whose sum is σ = 95981276160. Its totient is φ = 3317760000.

The previous prime is 18378359969. The next prime is 18378360001. The reversal of 18378360000 is 6387381.

18378360000 is a `hidden beast` number, since 18 + 37 + 8 + 3 + 600 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2240).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (18378360001) by changing a digit.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 1081079992 + ... + 1081080008.

It is an arithmetic number, because the mean of its divisors is an integer number (42848784).

Almost surely, 2^18378360000 is an apocalyptic number.

18378360000 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 18378360000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47990638080).

18378360000 is an abundant number, since it is smaller than the sum of its proper divisors (77602916160).

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

18378360000 is a wasteful number, since it uses less digits than its factorization.

18378360000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 89 (or 58 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The spelling of 18378360000 in words is "eighteen billion, three hundred seventy-eight million, three hundred sixty thousand".