8188820640 has 1728 divisors, whose sum is σ = 41437992960. Its totient is φ = 1423319040.

The previous prime is 8188820561. The next prime is 8188820641. The reversal of 8188820640 is 460288818.

It is a happy number.

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 (8188820641) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 356035669 + ... + 356035691.

It is an arithmetic number, because the mean of its divisors is an integer number (23980320).

Almost surely, 2^8188820640 is an apocalyptic number.

8188820640 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 8188820640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20718996480).

8188820640 is an abundant number, since it is smaller than the sum of its proper divisors (33249172320).

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

8188820640 is a wasteful number, since it uses less digits than its factorization.

8188820640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 107 (or 83 counting only the distinct ones).

The product of its (nonzero) digits is 196608, while the sum is 45.

The square root of 8188820640 is about 90492.1026388491. The cubic root of 8188820640 is about 2015.6128555533.

It can be divided in two parts, 8188 and 820640, that added together give a palindrome (828828).

The spelling of 8188820640 in words is "eight billion, one hundred eighty-eight million, eight hundred twenty thousand, six hundred forty".