4415643648 has 336 divisors, whose sum is σ = 14598432576. Its totient is φ = 1274019840.

The previous prime is 4415643611. The next prime is 4415643667. The reversal of 4415643648 is 8463465144.

4415643648 is a `hidden beast` number, since 4 + 41 + 564 + 3 + 6 + 48 = 666.

It is a super-2 number, since 2×4415643648² = 38995817652245495808, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 16293753 + ... + 16294023.

It is an arithmetic number, because the mean of its divisors is an integer number (43447716).

Almost surely, 2^4415643648 is an apocalyptic number.

4415643648 is a gapful number since it is divisible by the number (48) 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 4415643648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7299216288).

4415643648 is an abundant number, since it is smaller than the sum of its proper divisors (10182788928).

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

4415643648 is a wasteful number, since it uses less digits than its factorization.

4415643648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 333 (or 306 counting only the distinct ones).

The product of its digits is 1105920, while the sum is 45.

The square root of 4415643648 is about 66450.3096155315. The cubic root of 4415643648 is about 1640.5822402222.

The spelling of 4415643648 in words is "four billion, four hundred fifteen million, six hundred forty-three thousand, six hundred forty-eight".