330320013322320 has 2160 divisors, whose sum is σ = 1420757299713024. Its totient is φ = 68267656396800.

The previous prime is 330320013322301. The next prime is 330320013322357. The reversal of 330320013322320 is 23223310023033.

330320013322320 is a `hidden beast` number, since 3 + 3 + 0 + 3 + 2 + 0 + 0 + 1 + 332 + 2 + 320 = 666.

It is a super-2 number, since 2×330320013322320² (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 431 ways as a sum of consecutive naturals, for example, 678275181117 + ... + 678275181603.

Almost surely, 2^{330320013322320} is an apocalyptic number.

330320013322320 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 330320013322320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (710378649856512).

330320013322320 is an abundant number, since it is smaller than the sum of its proper divisors (1090437286390704).

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

330320013322320 is a wasteful number, since it uses less digits than its factorization.

330320013322320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 950 (or 743 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 27.

Adding to 330320013322320 its reverse (23223310023033), we get a palindrome (353543323345353).

The spelling of 330320013322320 in words is "three hundred thirty trillion, three hundred twenty billion, thirteen million, three hundred twenty-two thousand, three hundred twenty".