4002000564 has 24 divisors (see below), whose sum is σ = 9339025248. Its totient is φ = 1333853920.

The previous prime is 4002000547. The next prime is 4002000577. The reversal of 4002000564 is 4650002004.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 4002000564.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 199054 + ... + 218234.

It is an arithmetic number, because the mean of its divisors is an integer number (389126052).

Almost surely, 2^4002000564 is an apocalyptic number.

It is an amenable number.

4002000564 is an abundant number, since it is smaller than the sum of its proper divisors (5337024684).

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

4002000564 is a wasteful number, since it uses less digits than its factorization.

4002000564 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36575 (or 36573 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 21.

The square root of 4002000564 is about 63261.3670734359. The cubic root of 4002000564 is about 1587.6656493110.

Adding to 4002000564 its reverse (4650002004), we get a palindrome (8652002568).

The spelling of 4002000564 in words is "four billion, two million, five hundred sixty-four", and thus it is an aban number.