4166346672 has 160 divisors (see below), whose sum is σ = 12703204800. Its totient is φ = 1302884352.

The previous prime is 4166346647. The next prime is 4166346677. The reversal of 4166346672 is 2766436614.

It is a happy number.

4166346672 is a `hidden beast` number, since 4 + 1 + 6 + 634 + 6 + 6 + 7 + 2 = 666.

It is not an unprimeable number, because it can be changed into a prime (4166346677) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2914854 + ... + 2916282.

It is an arithmetic number, because the mean of its divisors is an integer number (79395030).

Almost surely, 2^4166346672 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4166346672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6351602400).

4166346672 is an abundant number, since it is smaller than the sum of its proper divisors (8536858128).

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

4166346672 is a wasteful number, since it uses less digits than its factorization.

4166346672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1860 (or 1848 counting only the distinct ones).

The product of its digits is 870912, while the sum is 45.

The square root of 4166346672 is about 64547.2437211691. The cubic root of 4166346672 is about 1609.1077797610.

The spelling of 4166346672 in words is "four billion, one hundred sixty-six million, three hundred forty-six thousand, six hundred seventy-two".