4402001664 has 108 divisors (see below), whose sum is σ = 12715977456. Its totient is φ = 1464569856.

The previous prime is 4402001609. The next prime is 4402001683. The reversal of 4402001664 is 4661002044.

4402001664 is a `hidden beast` number, since 440 + 200 + 16 + 6 + 4 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1489212 + ... + 1492164.

It is an arithmetic number, because the mean of its divisors is an integer number (117740532).

Almost surely, 2^4402001664 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 4402001664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6357988728).

4402001664 is an abundant number, since it is smaller than the sum of its proper divisors (8313975792).

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

4402001664 is a wasteful number, since it uses less digits than its factorization.

4402001664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3622 (or 3605 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 4402001664 is about 66347.5822016146. The cubic root of 4402001664 is about 1638.8909892713.

The spelling of 4402001664 in words is "four billion, four hundred two million, one thousand, six hundred sixty-four".