8385688080 has 640 divisors, whose sum is σ = 36386242560. Its totient is φ = 1724405760.

The previous prime is 8385688033. The next prime is 8385688081. The reversal of 8385688080 is 808865838.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (8385688081) 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 127 ways as a sum of consecutive naturals, for example, 21122442 + ... + 21122838.

It is an arithmetic number, because the mean of its divisors is an integer number (56853504).

Almost surely, 2^8385688080 is an apocalyptic number.

8385688080 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 8385688080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18193121280).

8385688080 is an abundant number, since it is smaller than the sum of its proper divisors (28000554480).

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

8385688080 is a wasteful number, since it uses less digits than its factorization.

8385688080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 564 (or 552 counting only the distinct ones).

The product of its (nonzero) digits is 2949120, while the sum is 54.

The square root of 8385688080 is about 91573.4026887720. The cubic root of 8385688080 is about 2031.6375665928.

It can be divided in two parts, 838568 and 8080, that added together give a palindrome (846648).

The spelling of 8385688080 in words is "eight billion, three hundred eighty-five million, six hundred eighty-eight thousand, eighty".