4067873832 has 288 divisors, whose sum is σ = 12288497760. Its totient is φ = 1120204800.

The previous prime is 4067873807. The next prime is 4067873833. The reversal of 4067873832 is 2383787604.

4067873832 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (4067873833) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 31052407 + ... + 31052537.

It is an arithmetic number, because the mean of its divisors is an integer number (42668395).

Almost surely, 2^4067873832 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 4067873832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6144248880).

4067873832 is an abundant number, since it is smaller than the sum of its proper divisors (8220623928).

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

4067873832 is a wasteful number, since it uses less digits than its factorization.

4067873832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 233 (or 201 counting only the distinct ones).

The product of its (nonzero) digits is 1354752, while the sum is 48.

The square root of 4067873832 is about 63779.8857948178. The cubic root of 4067873832 is about 1596.3293238168.

The spelling of 4067873832 in words is "four billion, sixty-seven million, eight hundred seventy-three thousand, eight hundred thirty-two".