8008480081920 has 384 divisors, whose sum is σ = 27411589296000. Its totient is φ = 1990018990080.

The previous prime is 8008480081879. The next prime is 8008480081949. The reversal of 8008480081920 is 291800848008.

It is a tau number, because it is divible by the number of its divisors (384).

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 8008480081920.

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, 35492016 + ... + 35716944.

It is an arithmetic number, because the mean of its divisors is an integer number (71384347125).

Almost surely, 2^{8008480081920} is an apocalyptic number.

8008480081920 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 8008480081920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13705794648000).

8008480081920 is an abundant number, since it is smaller than the sum of its proper divisors (19403109214080).

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

8008480081920 is a wasteful number, since it uses less digits than its factorization.

8008480081920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 225039 (or 225019 counting only the distinct ones).

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

The spelling of 8008480081920 in words is "eight trillion, eight billion, four hundred eighty million, eighty-one thousand, nine hundred twenty".