6848319000 has 128 divisors (see below), whose sum is σ = 22295969280. Its totient is φ = 1746800000.

The previous prime is 6848318993. The next prime is 6848319013. The reversal of 6848319000 is 9138486.

It is a super-2 number, since 2×6848319000² = 93798946251522000000, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 6848319000.

It is a congruent number.

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, 19375 + ... + 118625.

It is an arithmetic number, because the mean of its divisors is an integer number (174187260).

Almost surely, 2^6848319000 is an apocalyptic number.

6848319000 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 6848319000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11147984640).

6848319000 is an abundant number, since it is smaller than the sum of its proper divisors (15447650280).

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

6848319000 is a wasteful number, since it uses less digits than its factorization.

6848319000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 99298 (or 99284 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 39.

The square root of 6848319000 is about 82754.5708707380. The cubic root of 6848319000 is about 1899.0132457028.

The spelling of 6848319000 in words is "six billion, eight hundred forty-eight million, three hundred nineteen thousand".