329680963920 has 640 divisors, whose sum is σ = 1374032056320. Its totient is φ = 63313920000.

The previous prime is 329680963897. The next prime is 329680963933. The reversal of 329680963920 is 29369086923.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 14384470 + ... + 14407370.

It is an arithmetic number, because the mean of its divisors is an integer number (2146925088).

Almost surely, 2^329680963920 is an apocalyptic number.

329680963920 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 329680963920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (687016028160).

329680963920 is an abundant number, since it is smaller than the sum of its proper divisors (1044351092400).

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

329680963920 is a wasteful number, since it uses less digits than its factorization.

329680963920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22995 (or 22989 counting only the distinct ones).

The product of its (nonzero) digits is 7558272, while the sum is 57.

The spelling of 329680963920 in words is "three hundred twenty-nine billion, six hundred eighty million, nine hundred sixty-three thousand, nine hundred twenty".