8480881920 has 288 divisors, whose sum is σ = 31544577792. Its totient is φ = 1901592576.

The previous prime is 8480881907. The next prime is 8480881943. The reversal of 8480881920 is 291880848.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 8480881920.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1421664 + ... + 1427616.

It is an arithmetic number, because the mean of its divisors is an integer number (109529784).

Almost surely, 2^8480881920 is an apocalyptic number.

8480881920 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 8480881920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15772288896).

8480881920 is an abundant number, since it is smaller than the sum of its proper divisors (23063695872).

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

8480881920 is a wasteful number, since it uses less digits than its factorization.

8480881920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6037 (or 6023 counting only the distinct ones).

The product of its (nonzero) digits is 294912, while the sum is 48.

The square root of 8480881920 is about 92091.7038608799. The cubic root of 8480881920 is about 2039.2963355496.

The spelling of 8480881920 in words is "eight billion, four hundred eighty million, eight hundred eighty-one thousand, nine hundred twenty".