4005712620 has 576 divisors, whose sum is σ = 16075637760. Its totient is φ = 783820800.

The previous prime is 4005712603. The next prime is 4005712661. The reversal of 4005712620 is 262175004.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 18984315 + ... + 18984525.

Almost surely, 2^4005712620 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 4005712620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8037818880).

4005712620 is an abundant number, since it is smaller than the sum of its proper divisors (12069925140).

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

4005712620 is a wasteful number, since it uses less digits than its factorization.

4005712620 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 326 (or 321 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The square root of 4005712620 is about 63290.6993167243. The cubic root of 4005712620 is about 1588.1563774248.

Adding to 4005712620 its reverse (262175004), we get a palindrome (4267887624).

The spelling of 4005712620 in words is "four billion, five million, seven hundred twelve thousand, six hundred twenty".