6408928656 has 480 divisors, whose sum is σ = 21611116800. Its totient is φ = 1822943232.

The previous prime is 6408928649. The next prime is 6408928657. The reversal of 6408928656 is 6568298046.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (6408928657) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 43012870 + ... + 43013018.

It is an arithmetic number, because the mean of its divisors is an integer number (45023160).

Almost surely, 2^6408928656 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 6408928656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10805558400).

6408928656 is an abundant number, since it is smaller than the sum of its proper divisors (15202188144).

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

6408928656 is a wasteful number, since it uses less digits than its factorization.

6408928656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 245 (or 227 counting only the distinct ones).

The product of its (nonzero) digits is 4976640, while the sum is 54.

The square root of 6408928656 is about 80055.7846504548. The cubic root of 6408928656 is about 1857.4985312041.

The spelling of 6408928656 in words is "six billion, four hundred eight million, nine hundred twenty-eight thousand, six hundred fifty-six".