4422641664 has 384 divisors, whose sum is σ = 14944849920. Its totient is φ = 1133248512.

The previous prime is 4422641651. The next prime is 4422641689. The reversal of 4422641664 is 4661462244.

It is a tau number, because it is divible by the number of its divisors (384).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 16815997 + ... + 16816259.

It is an arithmetic number, because the mean of its divisors is an integer number (38918880).

Almost surely, 2^4422641664 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 4422641664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7472424960).

4422641664 is an abundant number, since it is smaller than the sum of its proper divisors (10522208256).

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

4422641664 is a wasteful number, since it uses less digits than its factorization.

4422641664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 335 (or 315 counting only the distinct ones).

The product of its digits is 221184, while the sum is 39.

The square root of 4422641664 is about 66502.9447769044. The cubic root of 4422641664 is about 1641.4484605659.

The spelling of 4422641664 in words is "four billion, four hundred twenty-two million, six hundred forty-one thousand, six hundred sixty-four".