8633378688 has 256 divisors, whose sum is σ = 26629344000. Its totient is φ = 2450718720.

The previous prime is 8633378687. The next prime is 8633378701. The reversal of 8633378688 is 8868733368.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8633378687) 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 31 ways as a sum of consecutive naturals, for example, 7784278 + ... + 7785386.

It is an arithmetic number, because the mean of its divisors is an integer number (104020875).

Almost surely, 2^8633378688 is an apocalyptic number.

8633378688 is a gapful number since it is divisible by the number (88) 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 8633378688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13314672000).

8633378688 is an abundant number, since it is smaller than the sum of its proper divisors (17995965312).

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

8633378688 is a wasteful number, since it uses less digits than its factorization.

8633378688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1253 (or 1241 counting only the distinct ones).

The product of its digits is 27869184, while the sum is 60.

The square root of 8633378688 is about 92915.9764948956. The cubic root of 8633378688 is about 2051.4468222256.

The spelling of 8633378688 in words is "eight billion, six hundred thirty-three million, three hundred seventy-eight thousand, six hundred eighty-eight".