8448579216 has 720 divisors, whose sum is σ = 33541335360. Its totient is φ = 1950842880.

The previous prime is 8448579143. The next prime is 8448579247. The reversal of 8448579216 is 6129758448.

It is a happy number.

8448579216 is a `hidden beast` number, since 8 + 4 + 48 + 579 + 21 + 6 = 666.

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 143 ways as a sum of consecutive naturals, for example, 25069800 + ... + 25070136.

It is an arithmetic number, because the mean of its divisors is an integer number (46585188).

Almost surely, 2^8448579216 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 8448579216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16770667680).

8448579216 is an abundant number, since it is smaller than the sum of its proper divisors (25092756144).

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

8448579216 is a wasteful number, since it uses less digits than its factorization.

8448579216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 412 (or 396 counting only the distinct ones).

The product of its digits is 3870720, while the sum is 54.

The square root of 8448579216 is about 91916.1531832137. The cubic root of 8448579216 is about 2036.7038929065.

The spelling of 8448579216 in words is "eight billion, four hundred forty-eight million, five hundred seventy-nine thousand, two hundred sixteen".