6848755200 has 960 divisors, whose sum is σ = 30444480000. Its totient is φ = 1473085440.

The previous prime is 6848755153. The next prime is 6848755213. The reversal of 6848755200 is 25578486.

It is a tau number, because it is divible by the number of its divisors (960).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 45964726 + ... + 45964874.

It is an arithmetic number, because the mean of its divisors is an integer number (31713000).

Almost surely, 2^6848755200 is an apocalyptic number.

6848755200 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 6848755200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15222240000).

6848755200 is an abundant number, since it is smaller than the sum of its proper divisors (23595724800).

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

6848755200 is a wasteful number, since it uses less digits than its factorization.

6848755200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 212 (or 185 counting only the distinct ones).

The product of its (nonzero) digits is 537600, while the sum is 45.

The square root of 6848755200 is about 82757.2063327418. The cubic root of 6848755200 is about 1899.0535637230.

The spelling of 6848755200 in words is "six billion, eight hundred forty-eight million, seven hundred fifty-five thousand, two hundred".