6750816800 has 288 divisors, whose sum is σ = 20725673472. Its totient is φ = 2090004480.

The previous prime is 6750816797. The next prime is 6750816893. The reversal of 6750816800 is 86180576.

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 47 ways as a sum of consecutive naturals, for example, 3420614 + ... + 3422586.

It is an arithmetic number, because the mean of its divisors is an integer number (71964144).

Almost surely, 2^6750816800 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 6750816800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10362836736).

6750816800 is an abundant number, since it is smaller than the sum of its proper divisors (13974856672).

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

6750816800 is a wasteful number, since it uses less digits than its factorization.

6750816800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2060 (or 2047 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 41.

The square root of 6750816800 is about 82163.3543619052. The cubic root of 6750816800 is about 1889.9578016576.

The spelling of 6750816800 in words is "six billion, seven hundred fifty million, eight hundred sixteen thousand, eight hundred".