6368945600329 has 45 divisors (see below), whose sum is σ = 7014752830617. Its totient is φ = 5782571773056.

The previous prime is 6368945600317. The next prime is 6368945600333. The reversal of 6368945600329 is 9230065498636.

It is a happy number.

The square root of 6368945600329 is 2523677.

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

It can be written as a sum of positive squares in 22 ways, for example, as 4953673719225 + 1415271881104 = 2225685^2 + 1189652^2 .

It is not a de Polignac number, because 6368945600329 - 2¹⁵ = 6368945567561 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (6368945600359) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 46488653949 + ... + 46488654085.

Almost surely, 2^{6368945600329} is an apocalyptic number.

6368945600329 is the 2523677-th square number.

6368945600329 is the 1261839-th centered octagonal number.

It is an amenable number.

6368945600329 is a deficient number, since it is larger than the sum of its proper divisors (645807230288).

6368945600329 is an frugal number, since it uses more digits than its factorization.

6368945600329 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 544 (or 259 counting only the distinct ones).

The product of its (nonzero) digits is 50388480, while the sum is 61.

The spelling of 6368945600329 in words is "six trillion, three hundred sixty-eight billion, nine hundred forty-five million, six hundred thousand, three hundred twenty-nine".