8230320824320 has 896 divisors, whose sum is σ = 24527631513600. Its totient is φ = 2589827530752.

The previous prime is 8230320824291. The next prime is 8230320824339. The reversal of 8230320824320 is 234280230328.

It is a tau number, because it is divible by the number of its divisors (896).

It is a Harshad number since it is a multiple of its sum of digits (37).

It is a self number, because there is not a number n which added to its sum of digits gives 8230320824320.

It is a congruent number.

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 63 ways as a sum of consecutive naturals, for example, 21715885891 + ... + 21715886269.

Almost surely, 2^{8230320824320} is an apocalyptic number.

8230320824320 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 8230320824320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12263815756800).

8230320824320 is an abundant number, since it is smaller than the sum of its proper divisors (16297310689280).

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

8230320824320 is a wasteful number, since it uses less digits than its factorization.

8230320824320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 566 (or 542 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 37.

It can be divided in two parts, 8230320 and 824320, that added together give a triangular number (9054640 = T₄₂₅₅).

The spelling of 8230320824320 in words is "eight trillion, two hundred thirty billion, three hundred twenty million, eight hundred twenty-four thousand, three hundred twenty".