6824081664 has 81 divisors (see below), whose sum is σ = 19686949009. Its totient is φ = 2273372160.

The previous prime is 6824081647. The next prime is 6824081689. The reversal of 6824081664 is 4661804286.

The square root of 6824081664 is 82608.

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

6824081664 is a `hidden beast` number, since 6 + 82 + 408 + 166 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 5039864064 + 1784217600 = 70992^2 + 42240^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 3964324 + ... + 3966044.

Almost surely, 2^6824081664 is an apocalyptic number.

6824081664 is a gapful number since it is divisible by the number (64) formed by its first and last digit.

6824081664 is the 82608-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6824081664

6824081664 is an abundant number, since it is smaller than the sum of its proper divisors (12862867345).

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

6824081664 is an frugal number, since it uses more digits than its factorization.

6824081664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3464 (or 1726 counting only the distinct ones).

The product of its (nonzero) digits is 442368, while the sum is 45.

The cubic root of 6824081664 is about 1896.7702900127.

The spelling of 6824081664 in words is "six billion, eight hundred twenty-four million, eighty-one thousand, six hundred sixty-four".