18264960000 has 880 divisors, whose sum is σ = 77761108480. Its totient is φ = 4147200000.

The previous prime is 18264959969. The next prime is 18264960013. The reversal of 18264960000 is 6946281.

18264960000 is a `hidden beast` number, since 1 + 8 + 2 + 6 + 49 + 600 + 0 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 120959925 + ... + 120960075.

It is an arithmetic number, because the mean of its divisors is an integer number (88364896).

Almost surely, 2^18264960000 is an apocalyptic number.

18264960000 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 18264960000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38880554240).

18264960000 is an abundant number, since it is smaller than the sum of its proper divisors (59496148480).

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

18264960000 is an equidigital number, since it uses as much as digits as its factorization.

18264960000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 207 (or 168 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The spelling of 18264960000 in words is "eighteen billion, two hundred sixty-four million, nine hundred sixty thousand".