4167588672 has 420 divisors, whose sum is σ = 13768340256. Its totient is φ = 1245404160.

The previous prime is 4167588643. The next prime is 4167588679. The reversal of 4167588672 is 2768857614.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4167588679) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 58698397 + ... + 58698467.

Almost surely, 2^4167588672 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 4167588672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6884170128).

4167588672 is an abundant number, since it is smaller than the sum of its proper divisors (9600751584).

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

4167588672 is a wasteful number, since it uses less digits than its factorization.

4167588672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 188 (or 156 counting only the distinct ones).

The product of its digits is 4515840, while the sum is 54.

The square root of 4167588672 is about 64556.8638643483. The cubic root of 4167588672 is about 1609.2676571040.

The spelling of 4167588672 in words is "four billion, one hundred sixty-seven million, five hundred eighty-eight thousand, six hundred seventy-two".