6442863806880 has 1440 divisors, whose sum is σ = 25395897531312. Its totient is φ = 1532008857600.

The previous prime is 6442863806867. The next prime is 6442863806887. The reversal of 6442863806880 is 886083682446.

It is a happy number.

6442863806880 is a `hidden beast` number, since 6 + 4 + 42 + 86 + 380 + 68 + 80 = 666.

It can be written as a sum of positive squares in 24 ways, for example, as 124900041744 + 6317963765136 = 353412^2 + 2513556^2 .

It is a tau number, because it is divible by the number of its divisors (1440).

It is not an unprimeable number, because it can be changed into a prime (6442863806887) by changing a digit.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 12366341020 + ... + 12366341540.

Almost surely, 2^{6442863806880} is an apocalyptic number.

6442863806880 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 6442863806880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12697948765656).

6442863806880 is an abundant number, since it is smaller than the sum of its proper divisors (18953033724432).

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

6442863806880 is a wasteful number, since it uses less digits than its factorization.

6442863806880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 680 (or 626 counting only the distinct ones).

The product of its (nonzero) digits is 84934656, while the sum is 63.

The spelling of 6442863806880 in words is "six trillion, four hundred forty-two billion, eight hundred sixty-three million, eight hundred six thousand, eight hundred eighty".