6409944000 has 336 divisors, whose sum is σ = 23142951936. Its totient is φ = 1693440000.

The previous prime is 6409943983. The next prime is 6409944001. The reversal of 6409944000 is 4499046.

6409944000 is a `hidden beast` number, since 640 + 9 + 9 + 4 + 4 + 0 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6409944001) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9143650 + ... + 9144350.

Almost surely, 2^6409944000 is an apocalyptic number.

6409944000 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6409944000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11571475968).

6409944000 is an abundant number, since it is smaller than the sum of its proper divisors (16733007936).

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

6409944000 is a wasteful number, since it uses less digits than its factorization.

6409944000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 861 (or 838 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 6409944000 is about 80062.1258773460. The cubic root of 6409944000 is about 1857.5966183417.

The spelling of 6409944000 in words is "six billion, four hundred nine million, nine hundred forty-four thousand".