6816546800 has 180 divisors, whose sum is σ = 19880107056. Its totient is φ = 2235340800.

The previous prime is 6816546767. The next prime is 6816546829. The reversal of 6816546800 is 86456186.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 443240 + ... + 458360.

Almost surely, 2^6816546800 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 6816546800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9940053528).

6816546800 is an abundant number, since it is smaller than the sum of its proper divisors (13063560256).

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

6816546800 is a wasteful number, since it uses less digits than its factorization.

6816546800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15176 (or 15158 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 44.

The square root of 6816546800 is about 82562.3812641084. The cubic root of 6816546800 is about 1896.0719215835.

The spelling of 6816546800 in words is "six billion, eight hundred sixteen million, five hundred forty-six thousand, eight hundred".