330010038396864 has 336 divisors, whose sum is σ = 1083282354266112. Its totient is φ = 94093590767616.

The previous prime is 330010038396803. The next prime is 330010038396881. The reversal of 330010038396864 is 468693830010033.

It is a tau number, because it is divible by the number of its divisors (336).

It is a self number, because there is not a number n which added to its sum of digits gives 330010038396864.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4662242817 + ... + 4662313599.

It is an arithmetic number, because the mean of its divisors is an integer number (3224054625792).

Almost surely, 2^{330010038396864} 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 330010038396864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (541641177133056).

330010038396864 is an abundant number, since it is smaller than the sum of its proper divisors (753272315869248).

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

330010038396864 is a wasteful number, since it uses less digits than its factorization.

330010038396864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 73184 (or 73171 counting only the distinct ones).

The product of its (nonzero) digits is 6718464, while the sum is 54.

The spelling of 330010038396864 in words is "three hundred thirty trillion, ten billion, thirty-eight million, three hundred ninety-six thousand, eight hundred sixty-four".