8138668000 has 192 divisors, whose sum is σ = 20746672128. Its totient is φ = 3135283200.

The previous prime is 8138667997. The next prime is 8138668061. The reversal of 8138668000 is 8668318.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 18795784 + ... + 18796216.

It is an arithmetic number, because the mean of its divisors is an integer number (108055584).

Almost surely, 2^8138668000 is an apocalyptic number.

8138668000 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 8138668000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10373336064).

8138668000 is an abundant number, since it is smaller than the sum of its proper divisors (12608004128).

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

8138668000 is a wasteful number, since it uses less digits than its factorization.

8138668000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 622 (or 604 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 40.

The square root of 8138668000 is about 90214.5664513220. The cubic root of 8138668000 is about 2011.4895355591.

The spelling of 8138668000 in words is "eight billion, one hundred thirty-eight million, six hundred sixty-eight thousand".