6416227972 has 96 divisors (see below), whose sum is σ = 14618419200. Its totient is φ = 2441446560.

The previous prime is 6416227957. The next prime is 6416227981. The reversal of 6416227972 is 2797226146.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 644013 + ... + 653899.

It is an arithmetic number, because the mean of its divisors is an integer number (152275200).

Almost surely, 2^6416227972 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6416227972, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7309209600).

6416227972 is an abundant number, since it is smaller than the sum of its proper divisors (8202191228).

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

6416227972 is a wasteful number, since it uses less digits than its factorization.

6416227972 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9966 (or 9950 counting only the distinct ones).

The product of its digits is 508032, while the sum is 46.

The square root of 6416227972 is about 80101.3606126638. The cubic root of 6416227972 is about 1858.2034500942.

The spelling of 6416227972 in words is "six billion, four hundred sixteen million, two hundred twenty-seven thousand, nine hundred seventy-two".