4472064960 has 448 divisors, whose sum is σ = 16854220800. Its totient is φ = 992563200.

The previous prime is 4472064917. The next prime is 4472065109. The reversal of 4472064960 is 694602744.

It is a congruent number.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 6219481 + ... + 6220199.

Almost surely, 2^4472064960 is an apocalyptic number.

4472064960 is a gapful number since it is divisible by the number (40) 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 4472064960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8427110400).

4472064960 is an abundant number, since it is smaller than the sum of its proper divisors (12382155840).

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

4472064960 is a wasteful number, since it uses less digits than its factorization.

4472064960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 800 (or 790 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 42.

The square root of 4472064960 is about 66873.4996841051. The cubic root of 4472064960 is about 1647.5402541354.

The spelling of 4472064960 in words is "four billion, four hundred seventy-two million, sixty-four thousand, nine hundred sixty".