9882084678480 has 960 divisors, whose sum is σ = 41800615660800. Its totient is φ = 2133664727040.

The previous prime is 9882084678469. The next prime is 9882084678497. The reversal of 9882084678480 is 848764802889.

9882084678480 is a `hidden beast` number, since 9 + 8 + 8 + 2 + 0 + 8 + 467 + 84 + 80 = 666.

9882084678480 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×9882084678480² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 9882084678399 and 9882084678408.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 709861920 + ... + 709875840.

It is an arithmetic number, because the mean of its divisors is an integer number (43542307980).

Almost surely, 2^{9882084678480} is an apocalyptic number.

9882084678480 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 9882084678480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20900307830400).

9882084678480 is an abundant number, since it is smaller than the sum of its proper divisors (31918530982320).

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

9882084678480 is a wasteful number, since it uses less digits than its factorization.

9882084678480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14329 (or 14310 counting only the distinct ones).

The product of its (nonzero) digits is 396361728, while the sum is 72.

The spelling of 9882084678480 in words is "nine trillion, eight hundred eighty-two billion, eighty-four million, six hundred seventy-eight thousand, four hundred eighty".