18479328768000 has 832 divisors, whose sum is σ = 69033491130240. Its totient is φ = 4876664832000.

The previous prime is 18479328767969. The next prime is 18479328768011. The reversal of 18479328768000 is 86782397481.

18479328768000 is a `hidden beast` number, since 1 + 8 + 479 + 3 + 2 + 87 + 6 + 80 + 0 + 0 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1340921110 + ... + 1340934890.

It is an arithmetic number, because the mean of its divisors is an integer number (82972946070).

Almost surely, 2^{18479328768000} is an apocalyptic number.

18479328768000 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 18479328768000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34516745565120).

18479328768000 is an abundant number, since it is smaller than the sum of its proper divisors (50554162362240).

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

18479328768000 is an equidigital number, since it uses as much as digits as its factorization.

18479328768000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13926 (or 13888 counting only the distinct ones).

The product of its (nonzero) digits is 32514048, while the sum is 63.

The spelling of 18479328768000 in words is "eighteen trillion, four hundred seventy-nine billion, three hundred twenty-eight million, seven hundred sixty-eight thousand".