4084872064 has 256 divisors, whose sum is σ = 10847088000. Its totient is φ = 1517322240.

The previous prime is 4084872061. The next prime is 4084872089. The reversal of 4084872064 is 4602784804.

4084872064 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 4084872064.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4084872061) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9702574 + ... + 9702994.

Almost surely, 2^4084872064 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 4084872064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5423544000).

4084872064 is an abundant number, since it is smaller than the sum of its proper divisors (6762215936).

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

4084872064 is a wasteful number, since it uses less digits than its factorization.

4084872064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 486 (or 460 counting only the distinct ones).

The product of its (nonzero) digits is 344064, while the sum is 43.

The square root of 4084872064 is about 63913.0038724515. The cubic root of 4084872064 is about 1598.5497358559.

The spelling of 4084872064 in words is "four billion, eighty-four million, eight hundred seventy-two thousand, sixty-four".