6329008900 has 108 divisors (see below), whose sum is σ = 14458200484. Its totient is φ = 2404512000.

The previous prime is 6329008891. The next prime is 6329008901. The reversal of 6329008900 is 98009236.

It can be written as a sum of positive squares in 6 ways, for example, as 644753664 + 5684255236 = 25392^2 + 75394^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 6329008900.

It is not an unprimeable number, because it can be changed into a prime (6329008901) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 9574570 + ... + 9575230.

Almost surely, 2^6329008900 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 6329008900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7229100242).

6329008900 is an abundant number, since it is smaller than the sum of its proper divisors (8129191584).

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

6329008900 is a wasteful number, since it uses less digits than its factorization.

6329008900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 902 (or 872 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 37.

The square root of 6329008900 is about 79555.0683489116. The cubic root of 6329008900 is about 1849.7451706463.

The spelling of 6329008900 in words is "six billion, three hundred twenty-nine million, eight thousand, nine hundred".