330416872960 has 160 divisors (see below), whose sum is σ = 797738673600. Its totient is φ = 131250782208.

The previous prime is 330416872957. The next prime is 330416872963. The reversal of 330416872960 is 69278614033.

It is an interprime number because it is at equal distance from previous prime (330416872957) and next prime (330416872963).

It is a tau number, because it is divible by the number of its divisors (160).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (330416872963) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 302302174 + ... + 302303266.

It is an arithmetic number, because the mean of its divisors is an integer number (4985866710).

Almost surely, 2^330416872960 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 330416872960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (398869336800).

330416872960 is an abundant number, since it is smaller than the sum of its proper divisors (467321800640).

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

330416872960 is a wasteful number, since it uses less digits than its factorization.

330416872960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1828 (or 1812 counting only the distinct ones).

The product of its (nonzero) digits is 1306368, while the sum is 49.

The spelling of 330416872960 in words is "three hundred thirty billion, four hundred sixteen million, eight hundred seventy-two thousand, nine hundred sixty".