6816205000 has 80 divisors (see below), whose sum is σ = 17422360560. Its totient is φ = 2478600000.

The previous prime is 6816204937. The next prime is 6816205013. The reversal of 6816205000 is 5026186.

It is a hoax number, since the sum of its digits (28) 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 6816205000.

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 19 ways as a sum of consecutive naturals, for example, 6966 + ... + 116965.

It is an arithmetic number, because the mean of its divisors is an integer number (217779507).

Almost surely, 2^6816205000 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 6816205000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8711180280).

6816205000 is an abundant number, since it is smaller than the sum of its proper divisors (10606155560).

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

6816205000 is a wasteful number, since it uses less digits than its factorization.

6816205000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 123968 (or 123949 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 28.

The square root of 6816205000 is about 82560.3112881728. The cubic root of 6816205000 is about 1896.0402296709.

The spelling of 6816205000 in words is "six billion, eight hundred sixteen million, two hundred five thousand".