330284828016 has 320 divisors, whose sum is σ = 1139692055040. Its totient is φ = 90238095360.

The previous prime is 330284827979. The next prime is 330284828039. The reversal of 330284828016 is 610828482033.

330284828016 is a `hidden beast` number, since 330 + 28 + 4 + 8 + 280 + 16 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2594200 + ... + 2718536.

It is an arithmetic number, because the mean of its divisors is an integer number (3561537672).

Almost surely, 2^330284828016 is an apocalyptic number.

330284828016 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 330284828016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (569846027520).

330284828016 is an abundant number, since it is smaller than the sum of its proper divisors (809407227024).

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

330284828016 is a wasteful number, since it uses less digits than its factorization.

330284828016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 124421 (or 124409 counting only the distinct ones).

The product of its (nonzero) digits is 442368, while the sum is 45.

The spelling of 330284828016 in words is "three hundred thirty billion, two hundred eighty-four million, eight hundred twenty-eight thousand, sixteen".