4464664644 has 96 divisors (see below), whose sum is σ = 12358555776. Its totient is φ = 1238906880.

The previous prime is 4464664613. The next prime is 4464664649.

4464664644 is nontrivially palindromic in base 10.

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

It is a junction number, because it is equal to n+sod(n) for n = 4464664593 and 4464664602.

It is not an unprimeable number, because it can be changed into a prime (4464664649) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 56142 + ... + 109914.

It is an arithmetic number, because the mean of its divisors is an integer number (128734956).

Almost surely, 2^4464664644 is an apocalyptic number.

4464664644 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4464664644, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6179277888).

4464664644 is an abundant number, since it is smaller than the sum of its proper divisors (7893891132).

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

4464664644 is a wasteful number, since it uses less digits than its factorization.

4464664644 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53845 (or 53843 counting only the distinct ones).

The product of its digits is 5308416, while the sum is 48.

The square root of 4464664644 is about 66818.1460682650. The cubic root of 4464664644 is about 1646.6309762043.

The spelling of 4464664644 in words is "four billion, four hundred sixty-four million, six hundred sixty-four thousand, six hundred forty-four".