6448066560 has 780 divisors, whose sum is σ = 26117757072. Its totient is φ = 1518206976.

The previous prime is 6448066519. The next prime is 6448066571. The reversal of 6448066560 is 656608446.

6448066560 is a `hidden beast` number, since 6 + 4 + 4 + 80 + 6 + 6 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (780).

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

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 280350709 + ... + 280350731.

Almost surely, 2^6448066560 is an apocalyptic number.

6448066560 is a gapful number since it is divisible by the number (60) 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 6448066560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13058878536).

6448066560 is an abundant number, since it is smaller than the sum of its proper divisors (19669690512).

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

6448066560 is a wasteful number, since it uses less digits than its factorization.

6448066560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90 (or 46 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 45.

The square root of 6448066560 is about 80299.8540471899. The cubic root of 6448066560 is about 1861.2719707487.

The spelling of 6448066560 in words is "six billion, four hundred forty-eight million, sixty-six thousand, five hundred sixty".