6468025600 has 216 divisors, whose sum is σ = 17257819040. Its totient is φ = 2392104960.

The previous prime is 6468025579. The next prime is 6468025601. The reversal of 6468025600 is 65208646.

It is a hoax number, since the sum of its digits (37) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 6468025600.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6468025601) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 5228182 + ... + 5229418.

Almost surely, 2^6468025600 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 6468025600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8628909520).

6468025600 is an abundant number, since it is smaller than the sum of its proper divisors (10789793440).

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

6468025600 is a wasteful number, since it uses less digits than its factorization.

6468025600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1325 (or 1306 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 37.

The square root of 6468025600 is about 80424.0362080889. The cubic root of 6468025600 is about 1863.1904237293.

The spelling of 6468025600 in words is "six billion, four hundred sixty-eight million, twenty-five thousand, six hundred".