8298220038624 has 192 divisors, whose sum is σ = 24914042959680. Its totient is φ = 2685903667200.

The previous prime is 8298220038623. The next prime is 8298220038637. The reversal of 8298220038624 is 4268300228928.

8298220038624 is a `hidden beast` number, since 8 + 2 + 9 + 8 + 2 + 2 + 0 + 0 + 3 + 8 + 624 = 666.

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 (8298220038623) 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 31 ways as a sum of consecutive naturals, for example, 3507724 + ... + 5375924.

It is an arithmetic number, because the mean of its divisors is an integer number (129760640415).

Almost surely, 2^{8298220038624} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8298220038624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12457021479840).

8298220038624 is an abundant number, since it is smaller than the sum of its proper divisors (16615822921056).

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

8298220038624 is a wasteful number, since it uses less digits than its factorization.

8298220038624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1868370 (or 1868356 counting only the distinct ones).

The product of its (nonzero) digits is 5308416, while the sum is 54.

The spelling of 8298220038624 in words is "eight trillion, two hundred ninety-eight billion, two hundred twenty million, thirty-eight thousand, six hundred twenty-four".