6409566408 has 128 divisors (see below), whose sum is σ = 18998784000. Its totient is φ = 1763873280.

The previous prime is 6409566407. The next prime is 6409566409. The reversal of 6409566408 is 8046659046.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (6409566407) and next prime (6409566409).

It is not an unprimeable number, because it can be changed into a prime (6409566403) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 538263 + ... + 550041.

It is an arithmetic number, because the mean of its divisors is an integer number (148428000).

Almost surely, 2^6409566408 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 6409566408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9499392000).

6409566408 is an abundant number, since it is smaller than the sum of its proper divisors (12589217592).

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

6409566408 is a wasteful number, since it uses less digits than its factorization.

6409566408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11915 (or 11911 counting only the distinct ones).

The product of its (nonzero) digits is 1244160, while the sum is 48.

The square root of 6409566408 is about 80059.7677238699. The cubic root of 6409566408 is about 1857.5601423394.

The spelling of 6409566408 in words is "six billion, four hundred nine million, five hundred sixty-six thousand, four hundred eight".