330938068195728 has 480 divisors, whose sum is σ = 1138624683356160. Its totient is φ = 87578955509760.

The previous prime is 330938068195687. The next prime is 330938068195733. The reversal of 330938068195728 is 827591860839033.

It is a happy number.

330938068195728 is a `hidden beast` number, since 3 + 3 + 0 + 9 + 38 + 0 + 6 + 8 + 19 + 572 + 8 = 666.

It is a super-2 number, since 2×330938068195728² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 415201263 + ... + 415997553.

It is an arithmetic number, because the mean of its divisors is an integer number (2372134756992).

Almost surely, 2^{330938068195728} 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 330938068195728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (569312341678080).

330938068195728 is an abundant number, since it is smaller than the sum of its proper divisors (807686615160432).

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

330938068195728 is a wasteful number, since it uses less digits than its factorization.

330938068195728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 796715 (or 796706 counting only the distinct ones).

The product of its (nonzero) digits is 470292480, while the sum is 72.

The spelling of 330938068195728 in words is "three hundred thirty trillion, nine hundred thirty-eight billion, sixty-eight million, one hundred ninety-five thousand, seven hundred twenty-eight".