6823126410 has 128 divisors (see below), whose sum is σ = 17360386560. Its totient is φ = 1712848896.

The previous prime is 6823126393. The next prime is 6823126463. The reversal of 6823126410 is 146213286.

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 19328794 + ... + 19329146.

It is an arithmetic number, because the mean of its divisors is an integer number (135628020).

Almost surely, 2^6823126410 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6823126410, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8680193280).

6823126410 is an abundant number, since it is smaller than the sum of its proper divisors (10537260150).

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

6823126410 is a wasteful number, since it uses less digits than its factorization.

6823126410 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 752.

The product of its (nonzero) digits is 13824, while the sum is 33.

The square root of 6823126410 is about 82602.2179484304. The cubic root of 6823126410 is about 1896.6817808160.

Adding to 6823126410 its reverse (146213286), we get a palindrome (6969339696).

The spelling of 6823126410 in words is "six billion, eight hundred twenty-three million, one hundred twenty-six thousand, four hundred ten".