4065122664 has 24 divisors (see below), whose sum is σ = 11009707410. Its totient is φ = 1355040864.

The previous prime is 4065122651. The next prime is 4065122669. The reversal of 4065122664 is 4662215604.

4065122664 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 3763822500 + 301300164 = 61350^2 + 17358^2 .

It is a tau number, because it is divible by the number of its divisors (24).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (4065122669) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 28229947 + ... + 28230090.

Almost surely, 2^4065122664 is an apocalyptic number.

It is an amenable number.

4065122664 is an abundant number, since it is smaller than the sum of its proper divisors (6944584746).

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

4065122664 is a wasteful number, since it uses less digits than its factorization.

4065122664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 56460049 (or 56460042 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The square root of 4065122664 is about 63758.3144695655. The cubic root of 4065122664 is about 1595.9693683231.

The spelling of 4065122664 in words is "four billion, sixty-five million, one hundred twenty-two thousand, six hundred sixty-four".