826774728336 has 240 divisors, whose sum is σ = 2395754380656. Its totient is φ = 265964027904.

The previous prime is 826774728313. The next prime is 826774728341. The reversal of 826774728336 is 633827477628.

826774728336 is a `hidden beast` number, since 82 + 6 + 7 + 7 + 472 + 83 + 3 + 6 = 666.

826774728336 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 239473209600 + 587301518736 = 489360^2 + 766356^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 363736096 + ... + 363738368.

Almost surely, 2^826774728336 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 826774728336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1197877190328).

826774728336 is an abundant number, since it is smaller than the sum of its proper divisors (1568979652320).

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

826774728336 is a wasteful number, since it uses less digits than its factorization.

826774728336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2850 (or 2841 counting only the distinct ones).

The product of its digits is 113799168, while the sum is 63.

The spelling of 826774728336 in words is "eight hundred twenty-six billion, seven hundred seventy-four million, seven hundred twenty-eight thousand, three hundred thirty-six".