823936639328 has 96 divisors (see below), whose sum is σ = 1778628160512. Its totient is φ = 372606220800.

The previous prime is 823936639319. The next prime is 823936639439.

823936639328 is nontrivially palindromic in base 10.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 233209850 + ... + 233213382.

It is an arithmetic number, because the mean of its divisors is an integer number (18527376672).

Almost surely, 2^823936639328 is an apocalyptic number.

823936639328 is a gapful number since it is divisible by the number (88) 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 823936639328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (889314080256).

823936639328 is an abundant number, since it is smaller than the sum of its proper divisors (954691521184).

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

823936639328 is a wasteful number, since it uses less digits than its factorization.

823936639328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6748 (or 6740 counting only the distinct ones).

The product of its digits is 60466176, while the sum is 62.

The spelling of 823936639328 in words is "eight hundred twenty-three billion, nine hundred thirty-six million, six hundred thirty-nine thousand, three hundred twenty-eight".