6268509407808 has 448 divisors, whose sum is σ = 19999561728000. Its totient is φ = 1919986219008.

The previous prime is 6268509407791. The next prime is 6268509407813. The reversal of 6268509407808 is 8087049058626.

6268509407808 is a `hidden beast` number, since 6 + 2 + 6 + 8 + 509 + 40 + 7 + 80 + 8 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 116144733 + ... + 116198691.

Almost surely, 2^{6268509407808} 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 6268509407808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9999780864000).

6268509407808 is an abundant number, since it is smaller than the sum of its proper divisors (13731052320192).

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

6268509407808 is a wasteful number, since it uses less digits than its factorization.

6268509407808 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 54119 (or 54103 counting only the distinct ones).

The product of its (nonzero) digits is 46448640, while the sum is 63.

The spelling of 6268509407808 in words is "six trillion, two hundred sixty-eight billion, five hundred nine million, four hundred seven thousand, eight hundred eight".