6823872000 has 640 divisors, whose sum is σ = 27576806400. Its totient is φ = 1649664000.

The previous prime is 6823871981. The next prime is 6823872007. The reversal of 6823872000 is 2783286.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (640).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6823872007) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 19007821 + ... + 19008179.

It is an arithmetic number, because the mean of its divisors is an integer number (43088760).

Almost surely, 2^6823872000 is an apocalyptic number.

6823872000 is a gapful number since it is divisible by the number (60) 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 6823872000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13788403200).

6823872000 is an abundant number, since it is smaller than the sum of its proper divisors (20752934400).

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

6823872000 is a wasteful number, since it uses less digits than its factorization.

6823872000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 412 (or 380 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 6823872000 is about 82606.7309606185. The cubic root of 6823872000 is about 1896.7508642722.

The spelling of 6823872000 in words is "six billion, eight hundred twenty-three million, eight hundred seventy-two thousand".