328464120320 has 640 divisors, whose sum is σ = 980037273600. Its totient is φ = 103091208192.

The previous prime is 328464120293. The next prime is 328464120323. The reversal of 328464120320 is 23021464823.

It is a tau number, because it is divible by the number of its divisors (640).

It is a Harshad number since it is a multiple of its sum of digits (35).

It is not an unprimeable number, because it can be changed into a prime (328464120323) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 1667330462 + ... + 1667330658.

It is an arithmetic number, because the mean of its divisors is an integer number (1531308240).

Almost surely, 2^328464120320 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 328464120320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (490018636800).

328464120320 is an abundant number, since it is smaller than the sum of its proper divisors (651573153280).

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

328464120320 is a wasteful number, since it uses less digits than its factorization.

328464120320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 388 (or 372 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 35.

The spelling of 328464120320 in words is "three hundred twenty-eight billion, four hundred sixty-four million, one hundred twenty thousand, three hundred twenty".