6814089168 has 160 divisors (see below), whose sum is σ = 19789209600. Its totient is φ = 2010355200.

The previous prime is 6814089157. The next prime is 6814089169. The reversal of 6814089168 is 8619804186.

It is a super-2 number, since 2×6814089168² = 92863622378909864448, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 6814089168.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6814089169) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 815733 + ... + 824043.

It is an arithmetic number, because the mean of its divisors is an integer number (123682560).

Almost surely, 2^6814089168 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6814089168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9894604800).

6814089168 is an abundant number, since it is smaller than the sum of its proper divisors (12975120432).

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

6814089168 is a wasteful number, since it uses less digits than its factorization.

6814089168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8401 (or 8395 counting only the distinct ones).

The product of its (nonzero) digits is 663552, while the sum is 51.

The square root of 6814089168 is about 82547.4964368999. The cubic root of 6814089168 is about 1895.8440248054.

The spelling of 6814089168 in words is "six billion, eight hundred fourteen million, eighty-nine thousand, one hundred sixty-eight".