18000329068800 has 2160 divisors, whose sum is σ = 77206519716480. Its totient is φ = 4097990983680.

The previous prime is 18000329068699. The next prime is 18000329068811. The reversal of 18000329068800 is 886092300081.

It is a tau number, because it is divible by the number of its divisors (2160).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 6759416269 + ... + 6759418931.

It is an arithmetic number, because the mean of its divisors is an integer number (35743759128).

Almost surely, 2^{18000329068800} is an apocalyptic number.

18000329068800 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 18000329068800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38603259858240).

18000329068800 is an abundant number, since it is smaller than the sum of its proper divisors (59206190647680).

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

18000329068800 is a wasteful number, since it uses less digits than its factorization.

18000329068800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2790 (or 2762 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 45.

The spelling of 18000329068800 in words is "eighteen trillion, three hundred twenty-nine million, sixty-eight thousand, eight hundred".