6853851648 has 480 divisors, whose sum is σ = 24819125760. Its totient is φ = 1775370240.

The previous prime is 6853851629. The next prime is 6853851649. The reversal of 6853851648 is 8461583586.

6853851648 is a `hidden beast` number, since 6 + 85 + 3 + 8 + 516 + 48 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 6853851594 and 6853851603.

It is not an unprimeable number, because it can be changed into a prime (6853851649) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 15901993 + ... + 15902423.

It is an arithmetic number, because the mean of its divisors is an integer number (51706512).

Almost surely, 2^6853851648 is an apocalyptic number.

6853851648 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 6853851648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12409562880).

6853851648 is an abundant number, since it is smaller than the sum of its proper divisors (17965274112).

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

6853851648 is a wasteful number, since it uses less digits than its factorization.

6853851648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 508 (or 489 counting only the distinct ones).

The product of its digits is 5529600, while the sum is 54.

The square root of 6853851648 is about 82787.9921727783. The cubic root of 6853851648 is about 1899.5245022482.

The spelling of 6853851648 in words is "six billion, eight hundred fifty-three million, eight hundred fifty-one thousand, six hundred forty-eight".