330328876800 has 432 divisors, whose sum is σ = 1243087624800. Its totient is φ = 76527697920.

The previous prime is 330328876763. The next prime is 330328876807. The reversal of 330328876800 is 8678823033.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 330328876800.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (330328876807) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4204276 + ... + 4282124.

It is an arithmetic number, because the mean of its divisors is an integer number (2877517650).

Almost surely, 2^330328876800 is an apocalyptic number.

330328876800 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 330328876800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (621543812400).

330328876800 is an abundant number, since it is smaller than the sum of its proper divisors (912758748000).

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

330328876800 is a wasteful number, since it uses less digits than its factorization.

330328876800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 77908 (or 77889 counting only the distinct ones).

The product of its (nonzero) digits is 1161216, while the sum is 48.

The spelling of 330328876800 in words is "three hundred thirty billion, three hundred twenty-eight million, eight hundred seventy-six thousand, eight hundred".