328340976768 has 384 divisors, whose sum is σ = 1148432688000. Its totient is φ = 87899406336.

The previous prime is 328340976709. The next prime is 328340976781. The reversal of 328340976768 is 867679043823.

328340976768 is a `hidden beast` number, since 32 + 83 + 409 + 7 + 67 + 68 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 31387923 + ... + 31398381.

It is an arithmetic number, because the mean of its divisors is an integer number (2990710125).

Almost surely, 2^328340976768 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 328340976768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (574216344000).

328340976768 is an abundant number, since it is smaller than the sum of its proper divisors (820091711232).

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

328340976768 is a wasteful number, since it uses less digits than its factorization.

328340976768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10732 (or 10717 counting only the distinct ones).

The product of its (nonzero) digits is 73156608, while the sum is 63.

The spelling of 328340976768 in words is "three hundred twenty-eight billion, three hundred forty million, nine hundred seventy-six thousand, seven hundred sixty-eight".