329799632721888 has 48 divisors (see below), whose sum is σ = 989398898167680. Its totient is φ = 94228466491776.

The previous prime is 329799632721863. The next prime is 329799632721989. The reversal of 329799632721888 is 888127236997923.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (84).

It is a self number, because there is not a number n which added to its sum of digits gives 329799632721888.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 245386630818 + ... + 245386632161.

It is an arithmetic number, because the mean of its divisors is an integer number (20612477045160).

Almost surely, 2^{329799632721888} is an apocalyptic number.

It is an amenable number.

329799632721888 is an abundant number, since it is smaller than the sum of its proper divisors (659599265445792).

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

329799632721888 is a wasteful number, since it uses less digits than its factorization.

329799632721888 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 490773262999 (or 490773262991 counting only the distinct ones).

The product of its digits is 7900913664, while the sum is 84.

The spelling of 329799632721888 in words is "three hundred twenty-nine trillion, seven hundred ninety-nine billion, six hundred thirty-two million, seven hundred twenty-one thousand, eight hundred eighty-eight".