826669305306 has 128 divisors (see below), whose sum is σ = 2065705286400. Its totient is φ = 243292896000.

The previous prime is 826669305299. The next prime is 826669305317. The reversal of 826669305306 is 603503966628.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1988556 + ... + 2368056.

It is an arithmetic number, because the mean of its divisors is an integer number (16138322550).

Almost surely, 2^826669305306 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 826669305306, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1032852643200).

826669305306 is an abundant number, since it is smaller than the sum of its proper divisors (1239035981094).

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

826669305306 is a wasteful number, since it uses less digits than its factorization.

826669305306 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 379661 (or 379655 counting only the distinct ones).

The product of its (nonzero) digits is 8398080, while the sum is 54.

The spelling of 826669305306 in words is "eight hundred twenty-six billion, six hundred sixty-nine million, three hundred five thousand, three hundred six".