6821761712 has 80 divisors (see below), whose sum is σ = 13771931040. Its totient is φ = 3271065600.

The previous prime is 6821761711. The next prime is 6821761759. The reversal of 6821761712 is 2171671286.

It is a Harshad number since it is a multiple of its sum of digits (41).

It is a self number, because there is not a number n which added to its sum of digits gives 6821761712.

It is not an unprimeable number, because it can be changed into a prime (6821761711) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 19324928 + ... + 19325280.

It is an arithmetic number, because the mean of its divisors is an integer number (172149138).

Almost surely, 2^6821761712 is an apocalyptic number.

It is an amenable number.

6821761712 is an abundant number, since it is smaller than the sum of its proper divisors (6950169328).

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

6821761712 is a wasteful number, since it uses less digits than its factorization.

6821761712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 822 (or 816 counting only the distinct ones).

The product of its digits is 56448, while the sum is 41.

The square root of 6821761712 is about 82593.9568733694. The cubic root of 6821761712 is about 1896.5553201944. Note that the first 3 decimals are identical.

The spelling of 6821761712 in words is "six billion, eight hundred twenty-one million, seven hundred sixty-one thousand, seven hundred twelve".