6816555900 has 864 divisors, whose sum is σ = 29118136320. Its totient is φ = 1290816000.

The previous prime is 6816555899. The next prime is 6816555913. The reversal of 6816555900 is 95556186.

It is a happy number.

6816555900 is a `hidden beast` number, since 6 + 8 + 1 + 6 + 55 + 590 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 40817617 + ... + 40817783.

Almost surely, 2^6816555900 is an apocalyptic number.

6816555900 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 6816555900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14559068160).

6816555900 is an abundant number, since it is smaller than the sum of its proper divisors (22301580420).

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

6816555900 is a wasteful number, since it uses less digits than its factorization.

6816555900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 255 (or 245 counting only the distinct ones).

The product of its (nonzero) digits is 324000, while the sum is 45.

The square root of 6816555900 is about 82562.4363739346. The cubic root of 6816555900 is about 1896.0727653268.

The spelling of 6816555900 in words is "six billion, eight hundred sixteen million, five hundred fifty-five thousand, nine hundred".