6116163840 has 216 divisors, whose sum is σ = 22275839040. Its totient is φ = 1545080832.

The previous prime is 6116163811. The next prime is 6116163847. The reversal of 6116163840 is 483616116.

6116163840 is a `hidden beast` number, since 6 + 1 + 1 + 616 + 38 + 4 + 0 = 666.

It is a super-3 number, since 3×6116163840³ (a number of 30 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 6116163795 and 6116163804.

It is not an unprimeable number, because it can be changed into a prime (6116163847) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 204909 + ... + 232851.

Almost surely, 2^6116163840 is an apocalyptic number.

6116163840 is a gapful number since it is divisible by the number (60) 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 6116163840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11137919520).

6116163840 is an abundant number, since it is smaller than the sum of its proper divisors (16159675200).

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

6116163840 is a wasteful number, since it uses less digits than its factorization.

6116163840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27989 (or 27972 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 6116163840 is about 78205.9066822961. The cubic root of 6116163840 is about 1828.7725891047.

Adding to 6116163840 its reverse (483616116), we get a palindrome (6599779956).

The spelling of 6116163840 in words is "six billion, one hundred sixteen million, one hundred sixty-three thousand, eight hundred forty".