6408956960 has 144 divisors (see below), whose sum is σ = 17664272640. Its totient is φ = 2190988800.

The previous prime is 6408956947. The next prime is 6408956971. The reversal of 6408956960 is 696598046.

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, 3283985 + ... + 3285935.

It is an arithmetic number, because the mean of its divisors is an integer number (122668560).

Almost surely, 2^6408956960 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 6408956960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8832136320).

6408956960 is an abundant number, since it is smaller than the sum of its proper divisors (11255315680).

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

6408956960 is a wasteful number, since it uses less digits than its factorization.

6408956960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2399 (or 2384 counting only the distinct ones).

The product of its (nonzero) digits is 2799360, while the sum is 53.

The square root of 6408956960 is about 80055.9614269918. The cubic root of 6408956960 is about 1857.5012656477.

The spelling of 6408956960 in words is "six billion, four hundred eight million, nine hundred fifty-six thousand, nine hundred sixty".