330107109696 has 1008 divisors, whose sum is σ = 1239648568704. Its totient is φ = 84894511104.

The previous prime is 330107109691. The next prime is 330107109721. The reversal of 330107109696 is 696901701033.

It is a tau number, because it is divible by the number of its divisors (1008).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (330107109691) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 2025196911 + ... + 2025197073.

It is an arithmetic number, because the mean of its divisors is an integer number (1229810088).

Almost surely, 2^330107109696 is an apocalyptic number.

330107109696 is a gapful number since it is divisible by the number (36) 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 330107109696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (619824284352).

330107109696 is an abundant number, since it is smaller than the sum of its proper divisors (909541459008).

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

330107109696 is an equidigital number, since it uses as much as digits as its factorization.

330107109696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 272 (or 241 counting only the distinct ones).

The product of its (nonzero) digits is 183708, while the sum is 45.

The spelling of 330107109696 in words is "three hundred thirty billion, one hundred seven million, one hundred nine thousand, six hundred ninety-six".