8016103680 has 144 divisors (see below), whose sum is σ = 27570943680. Its totient is φ = 1973182464.

The previous prime is 8016103679. The next prime is 8016103747. The reversal of 8016103680 is 863016108.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 30370 + ... + 130209.

Almost surely, 2^8016103680 is an apocalyptic number.

8016103680 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 8016103680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13785471840).

8016103680 is an abundant number, since it is smaller than the sum of its proper divisors (19554840000).

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

8016103680 is a wasteful number, since it uses less digits than its factorization.

8016103680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 160616 (or 160602 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 33.

The square root of 8016103680 is about 89532.6961506242. The cubic root of 8016103680 is about 2001.3410738927.

Adding to 8016103680 its reverse (863016108), we get a palindrome (8879119788).

The spelling of 8016103680 in words is "eight billion, sixteen million, one hundred three thousand, six hundred eighty".