6629327263504 has 135 divisors (see below), whose sum is σ = 14244963569319. Its totient is φ = 2986501700160.

The previous prime is 6629327263483. The next prime is 6629327263529. The reversal of 6629327263504 is 4053627239266.

The square root of 6629327263504 is 2574748.

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

It is a Duffinian number.

It is an unprimeable number.

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 26 ways as a sum of consecutive naturals, for example, 18466092477 + ... + 18466092835.

Almost surely, 2^{6629327263504} is an apocalyptic number.

6629327263504 is the 2574748-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6629327263504

6629327263504 is an abundant number, since it is smaller than the sum of its proper divisors (7615636305815).

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

6629327263504 is an equidigital number, since it uses as much as digits as its factorization.

6629327263504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1074 (or 535 counting only the distinct ones).

The product of its (nonzero) digits is 19595520, while the sum is 55.

The spelling of 6629327263504 in words is "six trillion, six hundred twenty-nine billion, three hundred twenty-seven million, two hundred sixty-three thousand, five hundred four".