4164607872 has 352 divisors, whose sum is σ = 13551669000. Its totient is φ = 1269789696.

The previous prime is 4164607831. The next prime is 4164607873. The reversal of 4164607872 is 2787064614.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4164607873) 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 43 ways as a sum of consecutive naturals, for example, 143607154 + ... + 143607182.

Almost surely, 2^4164607872 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 4164607872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6775834500).

4164607872 is an abundant number, since it is smaller than the sum of its proper divisors (9387061128).

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

4164607872 is an frugal number, since it uses more digits than its factorization.

4164607872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 92 (or 53 counting only the distinct ones).

The product of its (nonzero) digits is 451584, while the sum is 45.

The square root of 4164607872 is about 64533.7731114492. The cubic root of 4164607872 is about 1608.8838980928.

The spelling of 4164607872 in words is "four billion, one hundred sixty-four million, six hundred seven thousand, eight hundred seventy-two".