8668080000 has 320 divisors, whose sum is σ = 31976326800. Its totient is φ = 2310912000.

The previous prime is 8668079993. The next prime is 8668080007. The reversal of 8668080000 is 808668.

It is an interprime number because it is at equal distance from previous prime (8668079993) and next prime (8668080007).

It is a tau number, because it is divible by the number of its divisors (320).

It is a super-2 number, since 2×8668080000² (a number of 21 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8668080007) 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 39 ways as a sum of consecutive naturals, for example, 2157994 + ... + 2162006.

Almost surely, 2^8668080000 is an apocalyptic number.

8668080000 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 8668080000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15988163400).

8668080000 is an abundant number, since it is smaller than the sum of its proper divisors (23308246800).

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

8668080000 is an equidigital number, since it uses as much as digits as its factorization.

8668080000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4056 (or 4023 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The square root of 8668080000 is about 93102.5241333445. The cubic root of 8668080000 is about 2054.1917008654.

Adding to 8668080000 its reverse (808668), we get a palindrome (8668888668).

The spelling of 8668080000 in words is "eight billion, six hundred sixty-eight million, eighty thousand".