4067121672 has 64 divisors (see below), whose sum is σ = 11342721600. Its totient is φ = 1350288000.

The previous prime is 4067121661. The next prime is 4067121673. The reversal of 4067121672 is 2761217604.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (4067121673) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 16708 + ... + 91724.

It is an arithmetic number, because the mean of its divisors is an integer number (177230025).

Almost surely, 2^4067121672 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 4067121672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5671360800).

4067121672 is an abundant number, since it is smaller than the sum of its proper divisors (7275599928).

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

4067121672 is a wasteful number, since it uses less digits than its factorization.

4067121672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75283 (or 75273 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 36.

The square root of 4067121672 is about 63773.9889923784. The cubic root of 4067121672 is about 1596.2309293298.

The spelling of 4067121672 in words is "four billion, sixty-seven million, one hundred twenty-one thousand, six hundred seventy-two".