8448216960 has 256 divisors, whose sum is σ = 27907053120. Its totient is φ = 2172518400.

The previous prime is 8448216947. The next prime is 8448216967. The reversal of 8448216960 is 696128448.

It is a Smith number, since the sum of its digits (48) 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 (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8448216967) 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, 6206680 + ... + 6208040.

Almost surely, 2^8448216960 is an apocalyptic number.

8448216960 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8448216960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13953526560).

8448216960 is an abundant number, since it is smaller than the sum of its proper divisors (19458836160).

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

8448216960 is a wasteful number, since it uses less digits than its factorization.

8448216960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1497 (or 1485 counting only the distinct ones).

The product of its (nonzero) digits is 663552, while the sum is 48.

The square root of 8448216960 is about 91914.1825835382. The cubic root of 8448216960 is about 2036.6747827358.

The spelling of 8448216960 in words is "eight billion, four hundred forty-eight million, two hundred sixteen thousand, nine hundred sixty".