18874080000 has 720 divisors, whose sum is σ = 74135144160. Its totient is φ = 4718592000.

The previous prime is 18874079971. The next prime is 18874080007. The reversal of 18874080000 is 8047881.

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

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

It is not an unprimeable number, because it can be changed into a prime (18874080007) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 73439872 + ... + 73440128.

It is an arithmetic number, because the mean of its divisors is an integer number (102965478).

Almost surely, 2^18874080000 is an apocalyptic number.

18874080000 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 18874080000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37067572080).

18874080000 is an abundant number, since it is smaller than the sum of its proper divisors (55261064160).

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

18874080000 is an equidigital number, since it uses as much as digits as its factorization.

18874080000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 319 (or 284 counting only the distinct ones).

The product of its (nonzero) digits is 14336, while the sum is 36.

The spelling of 18874080000 in words is "eighteen billion, eight hundred seventy-four million, eighty thousand".