6468336 has 200 divisors, whose sum is σ = 23046144. Its totient is φ = 1710720.

The previous prime is 6468323. The next prime is 6468349. The reversal of 6468336 is 6338646.

6468336 = 434² + 435² + ... + 465².

6468336 is a `hidden beast` number, since 646 + 8 + 3 + 3 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (6468323) and next prime (6468349).

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

Its product of digits (62208) is a multiple of the sum of its prime factors (81).

It is a self number, because there is not a number n which added to its sum of digits gives 6468336.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 208641 + ... + 208671.

Almost surely, 2^6468336 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 6468336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11523072).

6468336 is an abundant number, since it is smaller than the sum of its proper divisors (16577808).

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

6468336 is a wasteful number, since it uses less digits than its factorization.

6468336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 81 (or 66 counting only the distinct ones).

The product of its digits is 62208, while the sum is 36.

The square root of 6468336 is about 2543.2923544099. The cubic root of 6468336 is about 186.3220228036.

The spelling of 6468336 in words is "six million, four hundred sixty-eight thousand, three hundred thirty-six".