8444642472 has 256 divisors, whose sum is σ = 27887040000. Its totient is φ = 2319383808.

The previous prime is 8444642471. The next prime is 8444642519. The reversal of 8444642472 is 2742464448.

8444642472 is a `hidden beast` number, since 84 + 44 + 64 + 2 + 472 = 666.

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (8444642471) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 36876054 + ... + 36876282.

It is an arithmetic number, because the mean of its divisors is an integer number (108933750).

Almost surely, 2^8444642472 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 8444642472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13943520000).

8444642472 is an abundant number, since it is smaller than the sum of its proper divisors (19442397528).

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

8444642472 is a wasteful number, since it uses less digits than its factorization.

8444642472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 338 (or 270 counting only the distinct ones).

The product of its digits is 1376256, while the sum is 45.

The square root of 8444642472 is about 91894.7358231145. The cubic root of 8444642472 is about 2036.3874993720.

The spelling of 8444642472 in words is "eight billion, four hundred forty-four million, six hundred forty-two thousand, four hundred seventy-two".