6468018560 has 256 divisors, whose sum is σ = 17146183680. Its totient is φ = 2322432000.

The previous prime is 6468018541. The next prime is 6468018607. The reversal of 6468018560 is 658108646.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 42834485 + ... + 42834635.

It is an arithmetic number, because the mean of its divisors is an integer number (66977280).

Almost surely, 2^6468018560 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 6468018560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8573091840).

6468018560 is an abundant number, since it is smaller than the sum of its proper divisors (10678165120).

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

6468018560 is a wasteful number, since it uses less digits than its factorization.

6468018560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 345 (or 333 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 44.

The square root of 6468018560 is about 80423.9924400673. The cubic root of 6468018560 is about 1863.1897477442.

The spelling of 6468018560 in words is "six billion, four hundred sixty-eight million, eighteen thousand, five hundred sixty".