4166775168 has 64 divisors (see below), whose sum is σ = 11171545920. Its totient is φ = 1375930880.

The previous prime is 4166775163. The next prime is 4166775199. The reversal of 4166775168 is 8615776614.

It is a happy number.

4166775168 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×4166775168² = 34724030601322856448, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 4166775168.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4166775163) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 9618 + ... + 91793.

It is an arithmetic number, because the mean of its divisors is an integer number (174555405).

Almost surely, 2^4166775168 is an apocalyptic number.

4166775168 is a gapful number since it is divisible by the number (48) 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 4166775168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5585772960).

4166775168 is an abundant number, since it is smaller than the sum of its proper divisors (7004770752).

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

4166775168 is a wasteful number, since it uses less digits than its factorization.

4166775168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 101535 (or 101523 counting only the distinct ones).

The product of its digits is 1693440, while the sum is 51.

The square root of 4166775168 is about 64550.5628790331. The cubic root of 4166775168 is about 1609.1629418062.

The spelling of 4166775168 in words is "four billion, one hundred sixty-six million, seven hundred seventy-five thousand, one hundred sixty-eight".