8815884480 has 1008 divisors, whose sum is σ = 37794163680. Its totient is φ = 1934917632.

The previous prime is 8815884449. The next prime is 8815884487. The reversal of 8815884480 is 844885188.

8815884480 is a `hidden beast` number, since 8 + 8 + 158 + 8 + 4 + 480 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (8815884487) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 463993911 + ... + 463993929.

It is an arithmetic number, because the mean of its divisors is an integer number (37494210).

Almost surely, 2^8815884480 is an apocalyptic number.

8815884480 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 8815884480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18897081840).

8815884480 is an abundant number, since it is smaller than the sum of its proper divisors (28978279200).

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

8815884480 is a wasteful number, since it uses less digits than its factorization.

8815884480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 90 (or 59 counting only the distinct ones).

The product of its (nonzero) digits is 2621440, while the sum is 54.

The square root of 8815884480 is about 93892.9415877466. The cubic root of 8815884480 is about 2065.8016988494.

The spelling of 8815884480 in words is "eight billion, eight hundred fifteen million, eight hundred eighty-four thousand, four hundred eighty".