9867394788480 has 1024 divisors, whose sum is σ = 36243873792000. Its totient is φ = 2535836958720.

The previous prime is 9867394788473. The next prime is 9867394788529. The reversal of 9867394788480 is 848874937689.

9867394788480 is a `hidden beast` number, since 9 + 8 + 6 + 7 + 394 + 78 + 84 + 80 = 666.

9867394788480 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 9867394788480.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 20599988881 + ... + 20599989359.

It is an arithmetic number, because the mean of its divisors is an integer number (35394408000).

Almost surely, 2^{9867394788480} is an apocalyptic number.

9867394788480 is a gapful number since it is divisible by the number (90) 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 9867394788480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18121936896000).

9867394788480 is an abundant number, since it is smaller than the sum of its proper divisors (26376479003520).

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

9867394788480 is a wasteful number, since it uses less digits than its factorization.

9867394788480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 914 (or 896 counting only the distinct ones).

The product of its (nonzero) digits is 4682022912, while the sum is 81.

The spelling of 9867394788480 in words is "nine trillion, eight hundred sixty-seven billion, three hundred ninety-four million, seven hundred eighty-eight thousand, four hundred eighty".