8269668000 has 384 divisors, whose sum is σ = 32842817280. Its totient is φ = 2004480000.

The previous prime is 8269667993. The next prime is 8269668007. The reversal of 8269668000 is 8669628.

It is an interprime number because it is at equal distance from previous prime (8269667993) and next prime (8269668007).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (8269668007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1184520 + ... + 1191480.

It is an arithmetic number, because the mean of its divisors is an integer number (85528170).

Almost surely, 2^8269668000 is an apocalyptic number.

8269668000 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 8269668000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16421408640).

8269668000 is an abundant number, since it is smaller than the sum of its proper divisors (24573149280).

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

8269668000 is a wasteful number, since it uses less digits than its factorization.

8269668000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7006 (or 6982 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The square root of 8269668000 is about 90937.7149481996. The cubic root of 8269668000 is about 2022.2244553550.

The spelling of 8269668000 in words is "eight billion, two hundred sixty-nine million, six hundred sixty-eight thousand".