8238996480 has 704 divisors, whose sum is σ = 32221679616. Its totient is φ = 1784217600.

The previous prime is 8238996457. The next prime is 8238996481. The reversal of 8238996480 is 846998328.

It is a tau number, because it is divible by the number of its divisors (704).

It is a self number, because there is not a number n which added to its sum of digits gives 8238996480.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8238996481) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 265774065 + ... + 265774095.

Almost surely, 2^8238996480 is an apocalyptic number.

8238996480 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 8238996480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16110839808).

8238996480 is an abundant number, since it is smaller than the sum of its proper divisors (23982683136).

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

8238996480 is a wasteful number, since it uses less digits than its factorization.

8238996480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105 (or 65 counting only the distinct ones).

The product of its (nonzero) digits is 5971968, while the sum is 57.

The square root of 8238996480 is about 90768.9180281444. The cubic root of 8238996480 is about 2019.7212699096.

The spelling of 8238996480 in words is "eight billion, two hundred thirty-eight million, nine hundred ninety-six thousand, four hundred eighty".