6823880448 has 288 divisors, whose sum is σ = 22781606400. Its totient is φ = 1761607680.

The previous prime is 6823880383. The next prime is 6823880449. The reversal of 6823880448 is 8440883286.

It is a self number, because there is not a number n which added to its sum of digits gives 6823880448.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6823880449) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 15197728 + ... + 15198176.

It is an arithmetic number, because the mean of its divisors is an integer number (79102800).

Almost surely, 2^6823880448 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 6823880448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11390803200).

6823880448 is an abundant number, since it is smaller than the sum of its proper divisors (15957725952).

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

6823880448 is a wasteful number, since it uses less digits than its factorization.

6823880448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 743 (or 729 counting only the distinct ones).

The product of its (nonzero) digits is 2359296, while the sum is 51.

The square root of 6823880448 is about 82606.7820944503. The cubic root of 6823880448 is about 1896.7516470020.

The spelling of 6823880448 in words is "six billion, eight hundred twenty-three million, eight hundred eighty thousand, four hundred forty-eight".