327930474144 has 288 divisors, whose sum is σ = 1091396255040. Its totient is φ = 85443821568.

The previous prime is 327930474139. The next prime is 327930474187. The reversal of 327930474144 is 441474039723.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a junction number, because it is equal to n+sod(n) for n = 327930474093 and 327930474102.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5043312 + ... + 5107920.

It is an arithmetic number, because the mean of its divisors is an integer number (3789570330).

Almost surely, 2^327930474144 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 327930474144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (545698127520).

327930474144 is an abundant number, since it is smaller than the sum of its proper divisors (763465780896).

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

327930474144 is a wasteful number, since it uses less digits than its factorization.

327930474144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 64732 (or 64717 counting only the distinct ones).

The product of its (nonzero) digits is 2032128, while the sum is 48.

The spelling of 327930474144 in words is "three hundred twenty-seven billion, nine hundred thirty million, four hundred seventy-four thousand, one hundred forty-four".