6447283464960 has 1008 divisors, whose sum is σ = 25011446340384. Its totient is φ = 1582189314048.

The previous prime is 6447283464767. The next prime is 6447283464961. The reversal of 6447283464960 is 694643827446.

It is a happy number.

6447283464960 is a `hidden beast` number, since 6 + 4 + 4 + 7 + 2 + 83 + 464 + 96 + 0 = 666.

It is not an unprimeable number, because it can be changed into a prime (6447283464961) by changing a digit.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 5543665339 + ... + 5543666501.

It is an arithmetic number, because the mean of its divisors is an integer number (24812942798).

Almost surely, 2^{6447283464960} is an apocalyptic number.

6447283464960 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 6447283464960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12505723170192).

6447283464960 is an abundant number, since it is smaller than the sum of its proper divisors (18564162875424).

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

6447283464960 is a wasteful number, since it uses less digits than its factorization.

6447283464960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1672 (or 1643 counting only the distinct ones).

The product of its (nonzero) digits is 167215104, while the sum is 63.

The spelling of 6447283464960 in words is "six trillion, four hundred forty-seven billion, two hundred eighty-three million, four hundred sixty-four thousand, nine hundred sixty".