328220064000 has 864 divisors, whose sum is σ = 1234947517440. Its totient is φ = 83607552000.

The previous prime is 328220063981. The next prime is 328220064019. The reversal of 328220064000 is 460022823.

328220064000 is a `hidden beast` number, since 32 + 8 + 220 + 0 + 6 + 400 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (328220063981) and next prime (328220064019).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 866015811 + ... + 866016189.

Almost surely, 2^328220064000 is an apocalyptic number.

328220064000 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 328220064000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (617473758720).

328220064000 is an abundant number, since it is smaller than the sum of its proper divisors (906727453440).

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

328220064000 is a wasteful number, since it uses less digits than its factorization.

328220064000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 544 (or 517 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 328220064000 its reverse (460022823), we get a palindrome (328680086823).

The spelling of 328220064000 in words is "three hundred twenty-eight billion, two hundred twenty million, sixty-four thousand".