823282683840 has 672 divisors, whose sum is σ = 2941893706752. Its totient is φ = 211221504000.

The previous prime is 823282683829. The next prime is 823282683841. The reversal of 823282683840 is 48386282328.

It is a happy number.

823282683840 is a `hidden beast` number, since 8 + 232 + 8 + 26 + 8 + 384 + 0 = 666.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (823282683841) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1910168425 + ... + 1910168855.

It is an arithmetic number, because the mean of its divisors is an integer number (4377818016).

Almost surely, 2^823282683840 is an apocalyptic number.

823282683840 is a gapful number since it is divisible by the number (80) 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 823282683840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1470946853376).

823282683840 is an abundant number, since it is smaller than the sum of its proper divisors (2118611022912).

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

823282683840 is a wasteful number, since it uses less digits than its factorization.

823282683840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 729 (or 716 counting only the distinct ones).

The product of its (nonzero) digits is 7077888, while the sum is 54.

The spelling of 823282683840 in words is "eight hundred twenty-three billion, two hundred eighty-two million, six hundred eighty-three thousand, eight hundred forty".