6409982880 has 288 divisors, whose sum is σ = 26315452800. Its totient is φ = 1387984896.

The previous prime is 6409982797. The next prime is 6409982881. The reversal of 6409982880 is 882899046.

It is a tau number, because it is divible by the number of its divisors (288).

It is not an unprimeable number, because it can be changed into a prime (6409982881) 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, 174786 + ... + 208254.

It is an arithmetic number, because the mean of its divisors is an integer number (91373100).

Almost surely, 2^6409982880 is an apocalyptic number.

6409982880 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 6409982880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13157726400).

6409982880 is an abundant number, since it is smaller than the sum of its proper divisors (19905469920).

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

6409982880 is a wasteful number, since it uses less digits than its factorization.

6409982880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33516 (or 33505 counting only the distinct ones).

The product of its (nonzero) digits is 1990656, while the sum is 54.

The square root of 6409982880 is about 80062.3686884169. The cubic root of 6409982880 is about 1857.6003741316.

The spelling of 6409982880 in words is "six billion, four hundred nine million, nine hundred eighty-two thousand, eight hundred eighty".