6848962560 has 448 divisors, whose sum is σ = 26611234560. Its totient is φ = 1657405440.

The previous prime is 6848962559. The next prime is 6848962579. The reversal of 6848962560 is 652698486.

It is a happy number.

6848962560 is a `hidden beast` number, since 6 + 8 + 4 + 8 + 9 + 625 + 6 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 6848962497 and 6848962506.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 12164839 + ... + 12165401.

Almost surely, 2^6848962560 is an apocalyptic number.

6848962560 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 6848962560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13305617280).

6848962560 is an abundant number, since it is smaller than the sum of its proper divisors (19762272000).

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

6848962560 is a wasteful number, since it uses less digits than its factorization.

6848962560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 614 (or 584 counting only the distinct ones).

The product of its (nonzero) digits is 4976640, while the sum is 54.

The square root of 6848962560 is about 82758.4591446699. The cubic root of 6848962560 is about 1899.0727294333.

The spelling of 6848962560 in words is "six billion, eight hundred forty-eight million, nine hundred sixty-two thousand, five hundred sixty".