6850585561680 has 480 divisors, whose sum is σ = 27498521696256. Its totient is φ = 1494375607296.

The previous prime is 6850585561639. The next prime is 6850585561681. The reversal of 6850585561680 is 861655850586.

6850585561680 is a `hidden beast` number, since 6 + 8 + 5 + 0 + 5 + 8 + 5 + 5 + 616 + 8 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6850585561681) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 51285859 + ... + 51419261.

Almost surely, 2^{6850585561680} is an apocalyptic number.

6850585561680 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 6850585561680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13749260848128).

6850585561680 is an abundant number, since it is smaller than the sum of its proper divisors (20647936134576).

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

6850585561680 is a wasteful number, since it uses less digits than its factorization.

6850585561680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 133895 (or 133886 counting only the distinct ones).

The product of its (nonzero) digits is 69120000, while the sum is 63.

The spelling of 6850585561680 in words is "six trillion, eight hundred fifty billion, five hundred eighty-five million, five hundred sixty-one thousand, six hundred eighty".