4434275664 has 480 divisors, whose sum is σ = 16136300544. Its totient is φ = 1147737600.

The previous prime is 4434275641. The next prime is 4434275669. The reversal of 4434275664 is 4665724344.

4434275664 is a `hidden beast` number, since 4 + 43 + 42 + 7 + 566 + 4 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4434275669) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 29365989 + ... + 29366139.

Almost surely, 2^4434275664 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 4434275664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8068150272).

4434275664 is an abundant number, since it is smaller than the sum of its proper divisors (11702024880).

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

4434275664 is a wasteful number, since it uses less digits than its factorization.

4434275664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 277 (or 259 counting only the distinct ones).

The product of its digits is 1935360, while the sum is 45.

The square root of 4434275664 is about 66590.3571397541. The cubic root of 4434275664 is about 1642.8865069023.

The spelling of 4434275664 in words is "four billion, four hundred thirty-four million, two hundred seventy-five thousand, six hundred sixty-four".