8448547968 has 256 divisors, whose sum is σ = 28670976000. Its totient is φ = 2399155200.

The previous prime is 8448547949. The next prime is 8448547969. The reversal of 8448547968 is 8697458448.

8448547968 is a `hidden beast` number, since 84 + 4 + 8 + 547 + 9 + 6 + 8 = 666.

It is a Smith number, since the sum of its digits (63) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (63).

Its product of digits (61931520) is a multiple of the sum of its prime factors (2160).

It is not an unprimeable number, because it can be changed into a prime (8448547969) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4329393 + ... + 4331343.

It is an arithmetic number, because the mean of its divisors is an integer number (111996000).

Almost surely, 2^8448547968 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 8448547968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14335488000).

8448547968 is an abundant number, since it is smaller than the sum of its proper divisors (20222428032).

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

8448547968 is a wasteful number, since it uses less digits than its factorization.

8448547968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2160 (or 2142 counting only the distinct ones).

The product of its digits is 61931520, while the sum is 63.

The square root of 8448547968 is about 91915.9832020525. The cubic root of 8448547968 is about 2036.7013819123.

The spelling of 8448547968 in words is "eight billion, four hundred forty-eight million, five hundred forty-seven thousand, nine hundred sixty-eight".