330643809216 has 1344 divisors, whose sum is σ = 1246584987648. Its totient is φ = 84840763392.

The previous prime is 330643809203. The next prime is 330643809257. The reversal of 330643809216 is 612908346033.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 3983660311 + ... + 3983660393.

It is an arithmetic number, because the mean of its divisors is an integer number (927518592).

Almost surely, 2^330643809216 is an apocalyptic number.

330643809216 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 330643809216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (623292493824).

330643809216 is an abundant number, since it is smaller than the sum of its proper divisors (915941178432).

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

330643809216 is a wasteful number, since it uses less digits than its factorization.

330643809216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 220 (or 198 counting only the distinct ones).

The product of its (nonzero) digits is 559872, while the sum is 45.

The spelling of 330643809216 in words is "three hundred thirty billion, six hundred forty-three million, eight hundred nine thousand, two hundred sixteen".