823313272320 has 2400 divisors, whose sum is σ = 3841500690720. Its totient is φ = 166905446400.

The previous prime is 823313272297. The next prime is 823313272333. The reversal of 823313272320 is 23272313328.

823313272320 is a `hidden beast` number, since 8 + 2 + 3 + 3 + 1 + 327 + 2 + 320 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

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 239 ways as a sum of consecutive naturals, for example, 20080811500 + ... + 20080811540.

Almost surely, 2^823313272320 is an apocalyptic number.

823313272320 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 823313272320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1920750345360).

823313272320 is an abundant number, since it is smaller than the sum of its proper divisors (3018187418400).

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

823313272320 is an equidigital number, since it uses as much as digits as its factorization.

823313272320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 123 (or 69 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 36.

Adding to 823313272320 its reverse (23272313328), we get a palindrome (846585585648).

The spelling of 823313272320 in words is "eight hundred twenty-three billion, three hundred thirteen million, two hundred seventy-two thousand, three hundred twenty".