4405565664 has 72 divisors (see below), whose sum is σ = 12562221672. Its totient is φ = 1464549120.

The previous prime is 4405565641. The next prime is 4405565669. The reversal of 4405565664 is 4665655044.

4405565664 is a `hidden beast` number, since 4 + 40 + 556 + 56 + 6 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4405565669) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 86919 + ... + 127929.

It is an arithmetic number, because the mean of its divisors is an integer number (174475301).

Almost surely, 2^4405565664 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 4405565664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6281110836).

4405565664 is an abundant number, since it is smaller than the sum of its proper divisors (8156656008).

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

4405565664 is a wasteful number, since it uses less digits than its factorization.

4405565664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41400 (or 41389 counting only the distinct ones).

The product of its (nonzero) digits is 1728000, while the sum is 45.

The square root of 4405565664 is about 66374.4353196319. The cubic root of 4405565664 is about 1639.3331693131. Note that the first 3 decimals are identical.

The spelling of 4405565664 in words is "four billion, four hundred five million, five hundred sixty-five thousand, six hundred sixty-four".