6859641168 has 240 divisors, whose sum is σ = 21408004800. Its totient is φ = 2118555648.

The previous prime is 6859641097. The next prime is 6859641169. The reversal of 6859641168 is 8611469586.

6859641168 is a `hidden beast` number, since 6 + 8 + 596 + 41 + 1 + 6 + 8 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6859641169) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4427658 + ... + 4429206.

It is an arithmetic number, because the mean of its divisors is an integer number (89200020).

Almost surely, 2^6859641168 is an apocalyptic number.

6859641168 is a gapful number since it is divisible by the number (68) 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 6859641168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10704002400).

6859641168 is an abundant number, since it is smaller than the sum of its proper divisors (14548363632).

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

6859641168 is a wasteful number, since it uses less digits than its factorization.

6859641168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1656 (or 1638 counting only the distinct ones).

The product of its digits is 2488320, while the sum is 54.

The square root of 6859641168 is about 82822.9507322699. The cubic root of 6859641168 is about 1900.0592011101.

The spelling of 6859641168 in words is "six billion, eight hundred fifty-nine million, six hundred forty-one thousand, one hundred sixty-eight".