6848965656 has 288 divisors, whose sum is σ = 21120952320. Its totient is φ = 2001542400.

The previous prime is 6848965637. The next prime is 6848965679. The reversal of 6848965656 is 6565698486.

6848965656 is a `hidden beast` number, since 68 + 4 + 8 + 9 + 6 + 565 + 6 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 6848965593 and 6848965602.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 25272801 + ... + 25273071.

It is an arithmetic number, because the mean of its divisors is an integer number (73336640).

Almost surely, 2^6848965656 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 6848965656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10560476160).

6848965656 is an abundant number, since it is smaller than the sum of its proper divisors (14271986664).

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

6848965656 is a wasteful number, since it uses less digits than its factorization.

6848965656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 407 (or 387 counting only the distinct ones).

The product of its digits is 74649600, while the sum is 63.

The square root of 6848965656 is about 82758.4778497043. The cubic root of 6848965656 is about 1899.0730155850.

The spelling of 6848965656 in words is "six billion, eight hundred forty-eight million, nine hundred sixty-five thousand, six hundred fifty-six".