6409109800 has 96 divisors (see below), whose sum is σ = 15232429080. Its totient is φ = 2506982400.

The previous prime is 6409109789. The next prime is 6409109831. The reversal of 6409109800 is 89019046.

It can be written as a sum of positive squares in 12 ways, for example, as 1630705924 + 4778403876 = 40382^2 + 69126^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 6409109800.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3952990 + ... + 3954610.

Almost surely, 2^6409109800 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 6409109800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7616214540).

6409109800 is an abundant number, since it is smaller than the sum of its proper divisors (8823319280).

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

6409109800 is a wasteful number, since it uses less digits than its factorization.

6409109800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2063 (or 2054 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 37.

The square root of 6409109800 is about 80056.9160035534. The cubic root of 6409109800 is about 1857.5160313492.

The spelling of 6409109800 in words is "six billion, four hundred nine million, one hundred nine thousand, eight hundred".