18363937680 has 720 divisors, whose sum is σ = 72541315392. Its totient is φ = 4311014400.

The previous prime is 18363937673. The next prime is 18363937729. The reversal of 18363937680 is 8673936381.

18363937680 is a `hidden beast` number, since 183 + 6 + 393 + 76 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is a super-4 number, since 4×18363937680⁴ (a number of 42 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 87032775 + ... + 87032985.

Almost surely, 2^18363937680 is an apocalyptic number.

18363937680 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 18363937680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36270657696).

18363937680 is an abundant number, since it is smaller than the sum of its proper divisors (54177377712).

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

18363937680 is a wasteful number, since it uses less digits than its factorization.

18363937680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 298 (or 269 counting only the distinct ones).

The product of its (nonzero) digits is 3919104, while the sum is 54.

The spelling of 18363937680 in words is "eighteen billion, three hundred sixty-three million, nine hundred thirty-seven thousand, six hundred eighty".