4164591672 has 80 divisors (see below), whose sum is σ = 11715200640. Its totient is φ = 1382189184.

The previous prime is 4164591671. The next prime is 4164591689. The reversal of 4164591672 is 2761954614.

It is a super-3 number, since 3×4164591672³ (a number of 30 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4164591671) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 137193 + ... + 164775.

It is an arithmetic number, because the mean of its divisors is an integer number (146440008).

Almost surely, 2^4164591672 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 4164591672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5857600320).

4164591672 is an abundant number, since it is smaller than the sum of its proper divisors (7550608968).

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

4164591672 is a wasteful number, since it uses less digits than its factorization.

4164591672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27834 (or 27821 counting only the distinct ones).

The product of its digits is 362880, while the sum is 45.

The square root of 4164591672 is about 64533.6475956535. The cubic root of 4164591672 is about 1608.8818119458.

The spelling of 4164591672 in words is "four billion, one hundred sixty-four million, five hundred ninety-one thousand, six hundred seventy-two".