330320001232320 has 1792 divisors, whose sum is σ = 1251425894400000. Its totient is φ = 73019429683200.

The previous prime is 330320001232303. The next prime is 330320001232367. The reversal of 330320001232320 is 23232100023033.

It is a super-2 number, since 2×330320001232320² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 100127310031 + ... + 100127313329.

Almost surely, 2^{330320001232320} is an apocalyptic number.

330320001232320 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 330320001232320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (625712947200000).

330320001232320 is an abundant number, since it is smaller than the sum of its proper divisors (921105893167680).

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

330320001232320 is a wasteful number, since it uses less digits than its factorization.

330320001232320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3642 (or 3632 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 24.

Adding to 330320001232320 its reverse (23232100023033), we get a palindrome (353552101255353).

The spelling of 330320001232320 in words is "three hundred thirty trillion, three hundred twenty billion, one million, two hundred thirty-two thousand, three hundred twenty".