6810205248 has 672 divisors, whose sum is σ = 25988272128. Its totient is φ = 1731248640.

The previous prime is 6810205243. The next prime is 6810205261. The reversal of 6810205248 is 8425020186.

It is a tau number, because it is divible by the number of its divisors (672).

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

It is not an unprimeable number, because it can be changed into a prime (6810205243) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 144897961 + ... + 144898007.

It is an arithmetic number, because the mean of its divisors is an integer number (38673024).

Almost surely, 2^6810205248 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 6810205248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12994136064).

6810205248 is an abundant number, since it is smaller than the sum of its proper divisors (19178066880).

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

6810205248 is an equidigital number, since it uses as much as digits as its factorization.

6810205248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 114 (or 70 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 36.

The square root of 6810205248 is about 82523.9677184756. The cubic root of 6810205248 is about 1895.4837562611.

The spelling of 6810205248 in words is "six billion, eight hundred ten million, two hundred five thousand, two hundred forty-eight".