8224730880000 has 960 divisors, whose sum is σ = 28162946972160. Its totient is φ = 2133196800000.

The previous prime is 8224730879993. The next prime is 8224730880001. The reversal of 8224730880000 is 880374228.

It is a tau number, because it is divible by the number of its divisors (960).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8224730880001) by changing a digit.

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 79 ways as a sum of consecutive naturals, for example, 26446079845 + ... + 26446080155.

It is an arithmetic number, because the mean of its divisors is an integer number (29336403096).

Almost surely, 2^{8224730880000} is an apocalyptic number.

8224730880000 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 8224730880000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14081473486080).

8224730880000 is an abundant number, since it is smaller than the sum of its proper divisors (19938216092160).

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

8224730880000 is an equidigital number, since it uses as much as digits as its factorization.

8224730880000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 524 (or 489 counting only the distinct ones).

The product of its (nonzero) digits is 172032, while the sum is 42.

The spelling of 8224730880000 in words is "eight trillion, two hundred twenty-four billion, seven hundred thirty million, eight hundred eighty thousand".