6826641810420 has 96 divisors (see below), whose sum is σ = 19309602090240. Its totient is φ = 1801899924480.

The previous prime is 6826641810403. The next prime is 6826641810421. The reversal of 6826641810420 is 240181466286.

It is a self number, because there is not a number n which added to its sum of digits gives 6826641810420.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6826641810421) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5897880 + ... + 6959760.

It is an arithmetic number, because the mean of its divisors is an integer number (201141688440).

Almost surely, 2^{6826641810420} is an apocalyptic number.

6826641810420 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6826641810420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9654801045120).

6826641810420 is an abundant number, since it is smaller than the sum of its proper divisors (12482960279820).

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

6826641810420 is a wasteful number, since it uses less digits than its factorization.

6826641810420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1062985 (or 1062983 counting only the distinct ones).

The product of its (nonzero) digits is 884736, while the sum is 48.

The spelling of 6826641810420 in words is "six trillion, eight hundred twenty-six billion, six hundred forty-one million, eight hundred ten thousand, four hundred twenty".