6854168160 has 240 divisors, whose sum is σ = 27645510816. Its totient is φ = 1566646272.

The previous prime is 6854168117. The next prime is 6854168161. The reversal of 6854168160 is 618614586.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6854168161) by changing a digit.

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 39 ways as a sum of consecutive naturals, for example, 52944 + ... + 128496.

Almost surely, 2^6854168160 is an apocalyptic number.

6854168160 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 6854168160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13822755408).

6854168160 is an abundant number, since it is smaller than the sum of its proper divisors (20791342656).

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

6854168160 is a wasteful number, since it uses less digits than its factorization.

6854168160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75587 (or 75570 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 45.

The square root of 6854168160 is about 82789.9037322789. The cubic root of 6854168160 is about 1899.5537419164.

The spelling of 6854168160 in words is "six billion, eight hundred fifty-four million, one hundred sixty-eight thousand, one hundred sixty".