329848796160 has 880 divisors, whose sum is σ = 1283545737936. Its totient is φ = 80518053888.

The previous prime is 329848796131. The next prime is 329848796197. The reversal of 329848796160 is 61697848923.

329848796160 is a `hidden beast` number, since 3 + 2 + 9 + 8 + 4 + 8 + 7 + 9 + 616 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 128771887104 + 201076909056 = 358848^2 + 448416^2 .

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 79 ways as a sum of consecutive naturals, for example, 1040532322 + ... + 1040532638.

Almost surely, 2^329848796160 is an apocalyptic number.

329848796160 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 329848796160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (641772868968).

329848796160 is an abundant number, since it is smaller than the sum of its proper divisors (953696941776).

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

329848796160 is a wasteful number, since it uses less digits than its factorization.

329848796160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 560 (or 533 counting only the distinct ones).

The product of its (nonzero) digits is 31352832, while the sum is 63.

The spelling of 329848796160 in words is "three hundred twenty-nine billion, eight hundred forty-eight million, seven hundred ninety-six thousand, one hundred sixty".