6611771166 has 128 divisors (see below), whose sum is σ = 18235155456. Its totient is φ = 1542343680.

The previous prime is 6611771143. The next prime is 6611771197.

6611771166 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a nude number because it is divisible by every one of its digits.

It is a zygodrome in base 10.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 207346 + ... + 237098.

It is an arithmetic number, because the mean of its divisors is an integer number (142462152).

Almost surely, 2^6611771166 is an apocalyptic number.

6611771166 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 6611771166, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9117577728).

6611771166 is an abundant number, since it is smaller than the sum of its proper divisors (11623384290).

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

6611771166 is a wasteful number, since it uses less digits than its factorization.

6611771166 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29826.

The product of its digits is 63504, while the sum is 42.

The square root of 6611771166 is about 81312.7982915359. The cubic root of 6611771166 is about 1876.8919490089.

It can be divided in two parts, 6611 and 771166, that added together give a palindrome (777777).

The spelling of 6611771166 in words is "six billion, six hundred eleven million, seven hundred seventy-one thousand, one hundred sixty-six".