683330038272 has 800 divisors, whose sum is σ = 2516854982400. Its totient is φ = 180257882112.

The previous prime is 683330038271. The next prime is 683330038289. The reversal of 683330038272 is 272830033386.

It is not an unprimeable number, because it can be changed into a prime (683330038271) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 193631004 + ... + 193634532.

It is an arithmetic number, because the mean of its divisors is an integer number (3146068728).

Almost surely, 2^683330038272 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 683330038272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1258427491200).

683330038272 is an abundant number, since it is smaller than the sum of its proper divisors (1833524944128).

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

683330038272 is a wasteful number, since it uses less digits than its factorization.

683330038272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3618 (or 3593 counting only the distinct ones).

The product of its (nonzero) digits is 870912, while the sum is 45.

The spelling of 683330038272 in words is "six hundred eighty-three billion, three hundred thirty million, thirty-eight thousand, two hundred seventy-two".