6136685568 has 528 divisors, whose sum is σ = 21244519296. Its totient is φ = 1686896640.

The previous prime is 6136685567. The next prime is 6136685573. The reversal of 6136685568 is 8655866316.

6136685568 is a `hidden beast` number, since 6 + 13 + 6 + 68 + 5 + 568 = 666.

It is a Cunningham number, because it is equal to 78337²-1.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6136685567) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 46844863 + ... + 46844993.

It is an arithmetic number, because the mean of its divisors is an integer number (40235832).

Almost surely, 2^6136685568 is an apocalyptic number.

6136685568 is a gapful number since it is divisible by the number (68) 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 6136685568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10622259648).

6136685568 is an abundant number, since it is smaller than the sum of its proper divisors (15107833728).

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

6136685568 is a wasteful number, since it uses less digits than its factorization.

6136685568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 210 (or 189 counting only the distinct ones).

The product of its digits is 6220800, while the sum is 54.

The square root of 6136685568 is about 78336.9999936173. Note that the first 5 decimals coincide. The cubic root of 6136685568 is about 1830.8156822394.

The spelling of 6136685568 in words is "six billion, one hundred thirty-six million, six hundred eighty-five thousand, five hundred sixty-eight".