6705891648 has 84 divisors (see below), whose sum is σ = 19253400660. Its totient is φ = 2231556096.

The previous prime is 6705891641. The next prime is 6705891691. The reversal of 6705891648 is 8461985076.

6705891648 is a `hidden beast` number, since 6 + 7 + 0 + 589 + 16 + 48 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 3437711424 + 3268180224 = 58632^2 + 57168^2 .

It is a junction number, because it is equal to n+sod(n) for n = 6705891594 and 6705891603.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6705891641) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 345958 + ... + 364826.

Almost surely, 2^6705891648 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 6705891648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9626700330).

6705891648 is an abundant number, since it is smaller than the sum of its proper divisors (12547509012).

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

6705891648 is a wasteful number, since it uses less digits than its factorization.

6705891648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19504 (or 19491 counting only the distinct ones).

The product of its (nonzero) digits is 2903040, while the sum is 54.

The square root of 6705891648 is about 81889.5087785975. The cubic root of 6705891648 is about 1885.7560540138.

The spelling of 6705891648 in words is "six billion, seven hundred five million, eight hundred ninety-one thousand, six hundred forty-eight".