4005523680 has 192 divisors, whose sum is σ = 13408996608. Its totient is φ = 1001594880.

The previous prime is 4005523679. The next prime is 4005523681. The reversal of 4005523680 is 863255004.

It is an interprime number because it is at equal distance from previous prime (4005523679) and next prime (4005523681).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4005523681) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2700219 + ... + 2701701.

It is an arithmetic number, because the mean of its divisors is an integer number (69838524).

Almost surely, 2^4005523680 is an apocalyptic number.

4005523680 is a gapful number since it is divisible by the number (40) 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 4005523680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6704498304).

4005523680 is an abundant number, since it is smaller than the sum of its proper divisors (9403472928).

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

4005523680 is a wasteful number, since it uses less digits than its factorization.

4005523680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1849 (or 1841 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 33.

The square root of 4005523680 is about 63289.2066627478. The cubic root of 4005523680 is about 1588.1314071708.

Adding to 4005523680 its reverse (863255004), we get a palindrome (4868778684).

The spelling of 4005523680 in words is "four billion, five million, five hundred twenty-three thousand, six hundred eighty".