6328630768329 has 81 divisors (see below), whose sum is σ = 9823625123221. Its totient is φ = 3925261136640.

The previous prime is 6328630768279. The next prime is 6328630768391. The reversal of 6328630768329 is 9238670368236.

The square root of 6328630768329 is 2515677.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 78890765625 + 6249740002704 = 280875^2 + 2499948^2 .

It is not a de Polignac number, because 6328630768329 - 2¹⁵ = 6328630735561 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (6328630768129) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 13728049159 + ... + 13728049619.

Almost surely, 2^{6328630768329} is an apocalyptic number.

6328630768329 is the 2515677-th square number.

6328630768329 is the 1257839-th centered octagonal number.

It is an amenable number.

6328630768329 is a deficient number, since it is larger than the sum of its proper divisors (3494994354892).

6328630768329 is an equidigital number, since it uses as much as digits as its factorization.

6328630768329 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1176 (or 588 counting only the distinct ones).

The product of its (nonzero) digits is 94058496, while the sum is 63.

The spelling of 6328630768329 in words is "six trillion, three hundred twenty-eight billion, six hundred thirty million, seven hundred sixty-eight thousand, three hundred twenty-nine".