6417271872 has 112 divisors (see below), whose sum is σ = 20580705600. Its totient is φ = 1944622080.

The previous prime is 6417271867. The next prime is 6417271891. The reversal of 6417271872 is 2781727146.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 149797 + ... + 187812.

It is an arithmetic number, because the mean of its divisors is an integer number (183756300).

Almost surely, 2^6417271872 is an apocalyptic number.

It is an amenable number.

6417271872 is an abundant number, since it is smaller than the sum of its proper divisors (14163433728).

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

6417271872 is a wasteful number, since it uses less digits than its factorization.

6417271872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 337641 (or 337625 counting only the distinct ones).

The product of its digits is 263424, while the sum is 45.

The square root of 6417271872 is about 80107.8764666746. The cubic root of 6417271872 is about 1858.3042192377.

The spelling of 6417271872 in words is "six billion, four hundred seventeen million, two hundred seventy-one thousand, eight hundred seventy-two".