4233789672 has 128 divisors (see below), whose sum is σ = 12382191360. Its totient is φ = 1181306880.

The previous prime is 4233789649. The next prime is 4233789709. The reversal of 4233789672 is 2769873324.

It is a Smith number, since the sum of its digits (51) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2144878 + ... + 2146850.

It is an arithmetic number, because the mean of its divisors is an integer number (96735870).

Almost surely, 2^4233789672 is an apocalyptic number.

4233789672 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4233789672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6191095680).

4233789672 is an abundant number, since it is smaller than the sum of its proper divisors (8148401688).

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

4233789672 is a wasteful number, since it uses less digits than its factorization.

4233789672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2283 (or 2279 counting only the distinct ones).

The product of its digits is 3048192, while the sum is 51.

The square root of 4233789672 is about 65067.5777326926. The cubic root of 4233789672 is about 1617.7438583082.

The spelling of 4233789672 in words is "four billion, two hundred thirty-three million, seven hundred eighty-nine thousand, six hundred seventy-two".