6617722277166 has 384 divisors, whose sum is σ = 18071895840768. Its totient is φ = 1571976806400.

The previous prime is 6617722277077. The next prime is 6617722277171.

6617722277166 is nontrivially palindromic in base 10.

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

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 3582956455 + ... + 3582958301.

It is an arithmetic number, because the mean of its divisors is an integer number (47062228752).

Almost surely, 2^{6617722277166} is an apocalyptic number.

6617722277166 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 6617722277166, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9035947920384).

6617722277166 is an abundant number, since it is smaller than the sum of its proper divisors (11454173563602).

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

6617722277166 is a wasteful number, since it uses less digits than its factorization.

6617722277166 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2368 (or 2357 counting only the distinct ones).

The product of its digits is 24893568, while the sum is 60.

The spelling of 6617722277166 in words is "six trillion, six hundred seventeen billion, seven hundred twenty-two million, two hundred seventy-seven thousand, one hundred sixty-six".