4448165760 has 256 divisors, whose sum is σ = 16024608000. Its totient is φ = 1165805568.

The previous prime is 4448165749. The next prime is 4448165779. The reversal of 4448165760 is 675618444.

4448165760 is a `hidden beast` number, since 44 + 481 + 65 + 76 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1017339 + ... + 1021701.

It is an arithmetic number, because the mean of its divisors is an integer number (62596125).

Almost surely, 2^4448165760 is an apocalyptic number.

4448165760 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 4448165760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8012304000).

4448165760 is an abundant number, since it is smaller than the sum of its proper divisors (11576442240).

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

4448165760 is a wasteful number, since it uses less digits than its factorization.

4448165760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4450 (or 4432 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 45.

The square root of 4448165760 is about 66694.5706935730. The cubic root of 4448165760 is about 1644.6001325422.

The spelling of 4448165760 in words is "four billion, four hundred forty-eight million, one hundred sixty-five thousand, seven hundred sixty".