6821041164 has 96 divisors (see below), whose sum is σ = 19011310080. Its totient is φ = 1862203392.

The previous prime is 6821041151. The next prime is 6821041169. The reversal of 6821041164 is 4611401286.

It is not an unprimeable number, because it can be changed into a prime (6821041169) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 221859 + ... + 250725.

It is an arithmetic number, because the mean of its divisors is an integer number (198034480).

Almost surely, 2^6821041164 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 6821041164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9505655040).

6821041164 is an abundant number, since it is smaller than the sum of its proper divisors (12190268916).

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

6821041164 is a wasteful number, since it uses less digits than its factorization.

6821041164 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29007 (or 29005 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 33.

The square root of 6821041164 is about 82589.5947683484. The cubic root of 6821041164 is about 1896.4885433452.

It can be divided in two parts, 682 and 1041164, that added together give a triangular number (1041846 = T₁₄₄₃).

The spelling of 6821041164 in words is "six billion, eight hundred twenty-one million, forty-one thousand, one hundred sixty-four".