6865896960 has 560 divisors, whose sum is σ = 26674323984. Its totient is φ = 1684094976.

The previous prime is 6865896857. The next prime is 6865896979. The reversal of 6865896960 is 696985686.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 24260979 + ... + 24261261.

Almost surely, 2^6865896960 is an apocalyptic number.

6865896960 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 6865896960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13337161992).

6865896960 is an abundant number, since it is smaller than the sum of its proper divisors (19808427024).

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

6865896960 is an equidigital number, since it uses as much as digits as its factorization.

6865896960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 337 (or 306 counting only the distinct ones).

The product of its (nonzero) digits is 33592320, while the sum is 63.

The square root of 6865896960 is about 82860.7081794502. The cubic root of 6865896960 is about 1900.6366250767.

The spelling of 6865896960 in words is "six billion, eight hundred sixty-five million, eight hundred ninety-six thousand, nine hundred sixty".