8487344906880 has 512 divisors, whose sum is σ = 32911225344000. Its totient is φ = 1817206161408.

The previous prime is 8487344906867. The next prime is 8487344906891. The reversal of 8487344906880 is 886094437848.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 22540317 + ... + 22913763.

It is an arithmetic number, because the mean of its divisors is an integer number (64279737000).

Almost surely, 2^{8487344906880} is an apocalyptic number.

8487344906880 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 8487344906880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16455612672000).

8487344906880 is an abundant number, since it is smaller than the sum of its proper divisors (24423880437120).

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

8487344906880 is a wasteful number, since it uses less digits than its factorization.

8487344906880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 373584 (or 373572 counting only the distinct ones).

The product of its (nonzero) digits is 297271296, while the sum is 69.

The spelling of 8487344906880 in words is "eight trillion, four hundred eighty-seven billion, three hundred forty-four million, nine hundred six thousand, eight hundred eighty".