6817804900 has 81 divisors (see below), whose sum is σ = 15509049241. Its totient is φ = 2601285280.

The previous prime is 6817804879. The next prime is 6817804957. The reversal of 6817804900 is 94087186.

The square root of 6817804900 is 82570.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 2454409764 + 4363395136 = 49542^2 + 66056^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 18990921 + ... + 18991279.

Almost surely, 2^6817804900 is an apocalyptic number.

6817804900 is the 82570-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6817804900

6817804900 is an abundant number, since it is smaller than the sum of its proper divisors (8691244341).

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

6817804900 is a wasteful number, since it uses less digits than its factorization.

6817804900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 778 (or 389 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 43.

The cubic root of 6817804900 is about 1896.1885642870.

The spelling of 6817804900 in words is "six billion, eight hundred seventeen million, eight hundred four thousand, nine hundred".