8968320000 has 550 divisors, whose sum is σ = 33659177178. Its totient is φ = 2377728000.

The previous prime is 8968319963. The next prime is 8968320013. The reversal of 8968320000 is 238698.

It can be written as a sum of positive squares in 5 ways, for example, as 1602561024 + 7365758976 = 40032^2 + 85824^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 49 ways as a sum of consecutive naturals, for example, 51839914 + ... + 51840086.

Almost surely, 2^8968320000 is an apocalyptic number.

8968320000 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 8968320000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16829588589).

8968320000 is an abundant number, since it is smaller than the sum of its proper divisors (24690857178).

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

8968320000 is an equidigital number, since it uses as much as digits as its factorization.

8968320000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 225 (or 183 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 8968320000 is about 94701.2143533545. The cubic root of 8968320000 is about 2077.6403220784.

Adding to 8968320000 its reverse (238698), we get a palindrome (8968558698).

The spelling of 8968320000 in words is "eight billion, nine hundred sixty-eight million, three hundred twenty thousand".