8824492884480 has 1920 divisors, whose sum is σ = 37523548339200. Its totient is φ = 1748624080896.

The previous prime is 8824492884469. The next prime is 8824492884481. The reversal of 8824492884480 is 844882944288.

It is a tau number, because it is divible by the number of its divisors (1920).

It is not an unprimeable number, because it can be changed into a prime (8824492884481) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 12920194219 + ... + 12920194901.

It is an arithmetic number, because the mean of its divisors is an integer number (19543514760).

Almost surely, 2^{8824492884480} is an apocalyptic number.

8824492884480 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 8824492884480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18761774169600).

8824492884480 is an abundant number, since it is smaller than the sum of its proper divisors (28699055454720).

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

8824492884480 is a wasteful number, since it uses less digits than its factorization.

8824492884480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 894 (or 871 counting only the distinct ones).

The product of its (nonzero) digits is 301989888, while the sum is 69.

The spelling of 8824492884480 in words is "eight trillion, eight hundred twenty-four billion, four hundred ninety-two million, eight hundred eighty-four thousand, four hundred eighty".