329380904496 has 320 divisors, whose sum is σ = 1036627937280. Its totient is φ = 88113070080.

The previous prime is 329380904473. The next prime is 329380904521. The reversal of 329380904496 is 694409083923.

It is a happy number.

It is a hoax number, since the sum of its digits (57) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 121496581 + ... + 121499291.

It is an arithmetic number, because the mean of its divisors is an integer number (3239462304).

Almost surely, 2^329380904496 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 329380904496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (518313968640).

329380904496 is an abundant number, since it is smaller than the sum of its proper divisors (707247032784).

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

329380904496 is a wasteful number, since it uses less digits than its factorization.

329380904496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3132 (or 3126 counting only the distinct ones).

The product of its (nonzero) digits is 10077696, while the sum is 57.

The spelling of 329380904496 in words is "three hundred twenty-nine billion, three hundred eighty million, nine hundred four thousand, four hundred ninety-six".