8321280000 has 480 divisors, whose sum is σ = 30395645280. Its totient is φ = 2007040000.

The previous prime is 8321279971. The next prime is 8321280013. The reversal of 8321280000 is 821238.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 42239902 + ... + 42240098.

It is an arithmetic number, because the mean of its divisors is an integer number (63324261).

Almost surely, 2^8321280000 is an apocalyptic number.

8321280000 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 8321280000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15197822640).

8321280000 is an abundant number, since it is smaller than the sum of its proper divisors (22074365280).

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

8321280000 is a wasteful number, since it uses less digits than its factorization.

8321280000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 253 (or 218 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 24.

The square root of 8321280000 is about 91221.0502022422. The cubic root of 8321280000 is about 2026.4227160969.

The spelling of 8321280000 in words is "eight billion, three hundred twenty-one million, two hundred eighty thousand".