8481208320 has 288 divisors, whose sum is σ = 31659919200. Its totient is φ = 2087387136.

The previous prime is 8481208297. The next prime is 8481208321. The reversal of 8481208320 is 238021848.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8481208321) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1194541 + ... + 1201619.

It is an arithmetic number, because the mean of its divisors is an integer number (109930275).

Almost surely, 2^8481208320 is an apocalyptic number.

8481208320 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 8481208320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15829959600).

8481208320 is an abundant number, since it is smaller than the sum of its proper divisors (23178710880).

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

8481208320 is a wasteful number, since it uses less digits than its factorization.

8481208320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7125 (or 7102 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 36.

The square root of 8481208320 is about 92093.4759904305. The cubic root of 8481208320 is about 2039.3224970499.

The spelling of 8481208320 in words is "eight billion, four hundred eighty-one million, two hundred eight thousand, three hundred twenty".