6853749648 has 80 divisors (see below), whose sum is σ = 18789065280. Its totient is φ = 2145374208.

The previous prime is 6853749629. The next prime is 6853749653. The reversal of 6853749648 is 8469473586.

It is a junction number, because it is equal to n+sod(n) for n = 6853749591 and 6853749600.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 363723 + ... + 382101.

It is an arithmetic number, because the mean of its divisors is an integer number (234863316).

Almost surely, 2^6853749648 is an apocalyptic number.

6853749648 is a gapful number since it is divisible by the number (68) 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 6853749648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9394532640).

6853749648 is an abundant number, since it is smaller than the sum of its proper divisors (11935315632).

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

6853749648 is a wasteful number, since it uses less digits than its factorization.

6853749648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18864 (or 18858 counting only the distinct ones).

The product of its digits is 34836480, while the sum is 60.

The square root of 6853749648 is about 82787.3761391192. The cubic root of 6853749648 is about 1899.5150792031.

The spelling of 6853749648 in words is "six billion, eight hundred fifty-three million, seven hundred forty-nine thousand, six hundred forty-eight".