6692112966 has 96 divisors (see below), whose sum is σ = 17444166912. Its totient is φ = 1691202240.

The previous prime is 6692112953. The next prime is 6692112967.

6692112966 is nontrivially palindromic in base 10.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6692112967) 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, 91695 + ... + 147621.

It is an arithmetic number, because the mean of its divisors is an integer number (181710072).

Almost surely, 2^6692112966 is an apocalyptic number.

6692112966 is a gapful number since it is divisible by the number (66) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 6692112966, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8722083456).

6692112966 is an abundant number, since it is smaller than the sum of its proper divisors (10752053946).

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

6692112966 is a wasteful number, since it uses less digits than its factorization.

6692112966 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55994 (or 55987 counting only the distinct ones).

The product of its digits is 419904, while the sum is 48.

The square root of 6692112966 is about 81805.3358039682. The cubic root of 6692112966 is about 1884.4636059829.

The spelling of 6692112966 in words is "six billion, six hundred ninety-two million, one hundred twelve thousand, nine hundred sixty-six".