8205163840 has 56 divisors (see below), whose sum is σ = 19548546120. Its totient is φ = 3280386048.

The previous prime is 8205163829. The next prime is 8205163847. The reversal of 8205163840 is 483615028.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 41679936 + 8163483904 = 6456^2 + 90352^2 .

It is a super-3 number, since 3×8205163840³ (a number of 31 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 8205163840.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8205163847) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 759114 + ... + 769846.

Almost surely, 2^8205163840 is an apocalyptic number.

8205163840 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

8205163840 is an abundant number, since it is smaller than the sum of its proper divisors (11343382280).

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

8205163840 is a wasteful number, since it uses less digits than its factorization.

8205163840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13139 (or 13129 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 37.

The square root of 8205163840 is about 90582.3594305205. The cubic root of 8205163840 is about 2016.9528805652.

Adding to 8205163840 its reverse (483615028), we get a palindrome (8688778868).

The spelling of 8205163840 in words is "eight billion, two hundred five million, one hundred sixty-three thousand, eight hundred forty".