6771191168 has 128 divisors (see below), whose sum is σ = 16362432000. Its totient is φ = 2728230912.

The previous prime is 6771191131. The next prime is 6771191183. The reversal of 6771191168 is 8611911776.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

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 15 ways as a sum of consecutive naturals, for example, 1213088 + ... + 1218656.

It is an arithmetic number, because the mean of its divisors is an integer number (127831500).

Almost surely, 2^6771191168 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 6771191168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8181216000).

6771191168 is an abundant number, since it is smaller than the sum of its proper divisors (9591240832).

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

6771191168 is a wasteful number, since it uses less digits than its factorization.

6771191168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5672 (or 5660 counting only the distinct ones).

The product of its digits is 127008, while the sum is 47.

The square root of 6771191168 is about 82287.2479063433. The cubic root of 6771191168 is about 1891.8572272242.

The spelling of 6771191168 in words is "six billion, seven hundred seventy-one million, one hundred ninety-one thousand, one hundred sixty-eight".