8823972480 has 128 divisors (see below), whose sum is σ = 28187153280. Its totient is φ = 2347978752.

The previous prime is 8823972467. The next prime is 8823972497. The reversal of 8823972480 is 842793288.

It is a tau number, because it is divible by the number of its divisors (128).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 930322 + ... + 939758.

It is an arithmetic number, because the mean of its divisors is an integer number (220212135).

Almost surely, 2^8823972480 is an apocalyptic number.

8823972480 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 8823972480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14093576640).

8823972480 is an abundant number, since it is smaller than the sum of its proper divisors (19363180800).

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

8823972480 is a wasteful number, since it uses less digits than its factorization.

8823972480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9946 (or 9934 counting only the distinct ones).

The product of its (nonzero) digits is 1548288, while the sum is 51.

The square root of 8823972480 is about 93936.0020439448. The cubic root of 8823972480 is about 2066.4332519366.

The spelling of 8823972480 in words is "eight billion, eight hundred twenty-three million, nine hundred seventy-two thousand, four hundred eighty".