6417201447968 has 48 divisors (see below), whose sum is σ = 13083431540256. Its totient is φ = 3096223226880.

The previous prime is 6417201447931. The next prime is 6417201447977. The reversal of 6417201447968 is 8697441027146.

It is a super-2 number, since 2×6417201447968² (a number of 26 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 27980153 + ... + 28208568.

It is an arithmetic number, because the mean of its divisors is an integer number (272571490422).

Almost surely, 2^{6417201447968} is an apocalyptic number.

It is an amenable number.

6417201447968 is an abundant number, since it is smaller than the sum of its proper divisors (6666230092288).

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

6417201447968 is a wasteful number, since it uses less digits than its factorization.

6417201447968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56188857 (or 56188849 counting only the distinct ones).

The product of its (nonzero) digits is 16257024, while the sum is 59.

The spelling of 6417201447968 in words is "six trillion, four hundred seventeen billion, two hundred one million, four hundred forty-seven thousand, nine hundred sixty-eight".