6447316512 has 576 divisors, whose sum is σ = 23166259200. Its totient is φ = 1550223360.

The previous prime is 6447316457. The next prime is 6447316549. The reversal of 6447316512 is 2156137446.

It is a happy number.

It is a super-2 number, since 2×6447316512² = 83135780411815692288, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 36018439 + ... + 36018617.

It is an arithmetic number, because the mean of its divisors is an integer number (40219200).

Almost surely, 2^6447316512 is an apocalyptic number.

6447316512 is a gapful number since it is divisible by the number (62) 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 6447316512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11583129600).

6447316512 is an abundant number, since it is smaller than the sum of its proper divisors (16718942688).

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

6447316512 is a wasteful number, since it uses less digits than its factorization.

6447316512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 269 (or 254 counting only the distinct ones).

The product of its digits is 120960, while the sum is 39.

The square root of 6447316512 is about 80295.1836164536. The cubic root of 6447316512 is about 1861.1997993756.

The spelling of 6447316512 in words is "six billion, four hundred forty-seven million, three hundred sixteen thousand, five hundred twelve".