6809248320 has 224 divisors, whose sum is σ = 24775704576. Its totient is φ = 1552128000.

The previous prime is 6809248249. The next prime is 6809248337. The reversal of 6809248320 is 238429086.

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2895145 + ... + 2897495.

It is an arithmetic number, because the mean of its divisors is an integer number (110605824).

Almost surely, 2^6809248320 is an apocalyptic number.

6809248320 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 6809248320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12387852288).

6809248320 is an abundant number, since it is smaller than the sum of its proper divisors (17966456256).

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

6809248320 is a wasteful number, since it uses less digits than its factorization.

6809248320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2809 (or 2799 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 42.

The square root of 6809248320 is about 82518.1696355415. The cubic root of 6809248320 is about 1895.3949715438.

The spelling of 6809248320 in words is "six billion, eight hundred nine million, two hundred forty-eight thousand, three hundred twenty".