327325314762400 has 144 divisors (see below), whose sum is σ = 818506336991616. Its totient is φ = 127764123217920.

The previous prime is 327325314762371. The next prime is 327325314762443. The reversal of 327325314762400 is 4267413523723.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 244914 + ... + 25587313.

It is an arithmetic number, because the mean of its divisors is an integer number (5684071784664).

Almost surely, 2^{327325314762400} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 327325314762400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (409253168495808).

327325314762400 is an abundant number, since it is smaller than the sum of its proper divisors (491181022229216).

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

327325314762400 is a wasteful number, since it uses less digits than its factorization.

327325314762400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25832631 (or 25832618 counting only the distinct ones).

The product of its (nonzero) digits is 5080320, while the sum is 49.

The spelling of 327325314762400 in words is "three hundred twenty-seven trillion, three hundred twenty-five billion, three hundred fourteen million, seven hundred sixty-two thousand, four hundred".