9766127868 has 96 divisors (see below), whose sum is σ = 26609049600. Its totient is φ = 2786696640.

The previous prime is 9766127867. The next prime is 9766127893. The reversal of 9766127868 is 8687216679.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9766127867) 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, 6053830 + ... + 6055442.

It is an arithmetic number, because the mean of its divisors is an integer number (277177600).

Almost surely, 2^9766127868 is an apocalyptic number.

9766127868 is a gapful number since it is divisible by the number (98) 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 9766127868, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13304524800).

9766127868 is an abundant number, since it is smaller than the sum of its proper divisors (16842921732).

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

9766127868 is a wasteful number, since it uses less digits than its factorization.

9766127868 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3112 (or 3096 counting only the distinct ones).

The product of its digits is 12192768, while the sum is 60.

The square root of 9766127868 is about 98823.7211806963. The cubic root of 9766127868 is about 2137.5066214493.

The spelling of 9766127868 in words is "nine billion, seven hundred sixty-six million, one hundred twenty-seven thousand, eight hundred sixty-eight".