8298823680 has 576 divisors, whose sum is σ = 34225390080. Its totient is φ = 1868562432.

The previous prime is 8298823633. The next prime is 8298823681. The reversal of 8298823680 is 863288928.

It is a tau number, because it is divible by the number of its divisors (576).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8298823681) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 123863007 + ... + 123863073.

It is an arithmetic number, because the mean of its divisors is an integer number (59419080).

Almost surely, 2^8298823680 is an apocalyptic number.

8298823680 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 8298823680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17112695040).

8298823680 is an abundant number, since it is smaller than the sum of its proper divisors (25926566400).

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

8298823680 is an frugal number, since it uses more digits than its factorization.

8298823680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 122 (or 84 counting only the distinct ones).

The product of its (nonzero) digits is 2654208, while the sum is 54.

The square root of 8298823680 is about 91097.8796679703. The cubic root of 8298823680 is about 2024.5981973711.

The spelling of 8298823680 in words is "eight billion, two hundred ninety-eight million, eight hundred twenty-three thousand, six hundred eighty".