6500668800 has 192 divisors, whose sum is σ = 21512350800. Its totient is φ = 1725358080.

The previous prime is 6500668753. The next prime is 6500668817. The reversal of 6500668800 is 88660056.

It is a tau number, because it is divible by the number of its divisors (192).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2196922 + ... + 2199878.

Almost surely, 2^6500668800 is an apocalyptic number.

6500668800 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6500668800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10756175400).

6500668800 is an abundant number, since it is smaller than the sum of its proper divisors (15011682000).

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

6500668800 is a wasteful number, since it uses less digits than its factorization.

6500668800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3213 (or 3196 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 39.

The square root of 6500668800 is about 80626.7250978235. The cubic root of 6500668800 is about 1866.3195839945.

The spelling of 6500668800 in words is "six billion, five hundred million, six hundred sixty-eight thousand, eight hundred".