6268406800 has 60 divisors (see below), whose sum is σ = 15466906756. Its totient is φ = 2439590400.

The previous prime is 6268406789. The next prime is 6268406813. The reversal of 6268406800 is 86048626.

It can be written as a sum of positive squares in 6 ways, for example, as 167547136 + 6100859664 = 12944^2 + 78108^2 .

It is a Harshad number since it is a multiple of its sum of digits (40).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 196971 + ... + 226570.

Almost surely, 2^6268406800 is an apocalyptic number.

It is an amenable number.

6268406800 is an abundant number, since it is smaller than the sum of its proper divisors (9198499956).

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

6268406800 is a wasteful number, since it uses less digits than its factorization.

6268406800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 423596 (or 423585 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 40.

The square root of 6268406800 is about 79173.2707420882. The cubic root of 6268406800 is about 1843.8222765117.

The spelling of 6268406800 in words is "six billion, two hundred sixty-eight million, four hundred six thousand, eight hundred".