4481777664 has 384 divisors, whose sum is σ = 16030385280. Its totient is φ = 1174929408.

The previous prime is 4481777611. The next prime is 4481777669. The reversal of 4481777664 is 4667771844.

4481777664 is a `hidden beast` number, since 448 + 1 + 77 + 76 + 64 = 666.

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.

Its product of digits (6322176) is a multiple of the sum of its prime divisors (192).

It is a self number, because there is not a number n which added to its sum of digits gives 4481777664.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4481777669) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 26836909 + ... + 26837075.

It is an arithmetic number, because the mean of its divisors is an integer number (41745795).

Almost surely, 2^4481777664 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 4481777664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8015192640).

4481777664 is an abundant number, since it is smaller than the sum of its proper divisors (11548607616).

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

4481777664 is a wasteful number, since it uses less digits than its factorization.

4481777664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 223 (or 192 counting only the distinct ones).

The product of its digits is 6322176, while the sum is 54.

The square root of 4481777664 is about 66946.0802736053. The cubic root of 4481777664 is about 1648.7321345575.

The spelling of 4481777664 in words is "four billion, four hundred eighty-one million, seven hundred seventy-seven thousand, six hundred sixty-four".