329065728000 has 192 divisors, whose sum is σ = 1094865932160. Its totient is φ = 87750656000.

The previous prime is 329065727929. The next prime is 329065728023. The reversal of 329065728000 is 827560923.

It is a tau number, because it is divible by the number of its divisors (192).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 553765 + ... + 982235.

It is an arithmetic number, because the mean of its divisors is an integer number (5702426730).

Almost surely, 2^329065728000 is an apocalyptic number.

329065728000 is a gapful number since it is divisible by the number (30) 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 329065728000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (547432966080).

329065728000 is an abundant number, since it is smaller than the sum of its proper divisors (765800204160).

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

329065728000 is an equidigital number, since it uses as much as digits as its factorization.

329065728000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 428511 (or 428481 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 42.

The spelling of 329065728000 in words is "three hundred twenty-nine billion, sixty-five million, seven hundred twenty-eight thousand".