6468800 has 84 divisors (see below), whose sum is σ = 17196816. Its totient is φ = 2380800.

The previous prime is 6468793. The next prime is 6468811. The reversal of 6468800 is 88646.

It is a Harshad number since it is a multiple of its sum of digits (32).

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, 20645 + ... + 20955.

It is an arithmetic number, because the mean of its divisors is an integer number (204724).

Almost surely, 2^6468800 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 6468800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8598408).

6468800 is an abundant number, since it is smaller than the sum of its proper divisors (10728016).

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

6468800 is a wasteful number, since it uses less digits than its factorization.

6468800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 346 (or 331 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 32.

The square root of 6468800 is about 2543.3835731167. The cubic root of 6468800 is about 186.3264779088.

The spelling of 6468800 in words is "six million, four hundred sixty-eight thousand, eight hundred".