4005205064 has 16 divisors (see below), whose sum is σ = 8582582400. Its totient is φ = 1716516432.

The previous prime is 4005205033. The next prime is 4005205067. The reversal of 4005205064 is 4605025004.

4005205064 is digitally balanced in base 2, because in such base 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 (4005205067) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 35760704 + ... + 35760815.

It is an arithmetic number, because the mean of its divisors is an integer number (536411400).

Almost surely, 2^4005205064 is an apocalyptic number.

It is an amenable number.

4005205064 is an abundant number, since it is smaller than the sum of its proper divisors (4577377336).

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

4005205064 is a wasteful number, since it uses less digits than its factorization.

4005205064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 71521532 (or 71521528 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 26.

The square root of 4005205064 is about 63286.6894694295. The cubic root of 4005205064 is about 1588.0892971969.

The spelling of 4005205064 in words is "four billion, five million, two hundred five thousand, sixty-four".