329680226304 has 768 divisors, whose sum is σ = 1158744787200. Its totient is φ = 91304755200.

The previous prime is 329680226273. The next prime is 329680226363. The reversal of 329680226304 is 403622086923.

It is a happy number.

329680226304 is a `hidden beast` number, since 3 + 2 + 9 + 6 + 8 + 0 + 2 + 2 + 630 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (768).

It is a self number, because there is not a number n which added to its sum of digits gives 329680226304.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1367967624 + ... + 1367967864.

It is an arithmetic number, because the mean of its divisors is an integer number (1508782275).

Almost surely, 2^329680226304 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 329680226304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (579372393600).

329680226304 is an abundant number, since it is smaller than the sum of its proper divisors (829064560896).

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

329680226304 is a wasteful number, since it uses less digits than its factorization.

329680226304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 469 (or 443 counting only the distinct ones).

The product of its (nonzero) digits is 746496, while the sum is 45.

The spelling of 329680226304 in words is "three hundred twenty-nine billion, six hundred eighty million, two hundred twenty-six thousand, three hundred four".