8421823872 has 576 divisors, whose sum is σ = 32009852160. Its totient is φ = 2064476160.

The previous prime is 8421823841. The next prime is 8421823873. The reversal of 8421823872 is 2783281248.

It is a tau number, because it is divible by the number of its divisors (576).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8421823873) by changing a digit.

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 71 ways as a sum of consecutive naturals, for example, 32022013 + ... + 32022275.

It is an arithmetic number, because the mean of its divisors is an integer number (55572660).

Almost surely, 2^8421823872 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 8421823872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16004926080).

8421823872 is an abundant number, since it is smaller than the sum of its proper divisors (23588028288).

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

8421823872 is a wasteful number, since it uses less digits than its factorization.

8421823872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 339 (or 305 counting only the distinct ones).

The product of its digits is 344064, while the sum is 45.

The square root of 8421823872 is about 91770.4956508354. The cubic root of 8421823872 is about 2034.5516439253.

The spelling of 8421823872 in words is "eight billion, four hundred twenty-one million, eight hundred twenty-three thousand, eight hundred seventy-two".