6125687568 has 540 divisors, whose sum is σ = 23607939888. Its totient is φ = 1465551360.

The previous prime is 6125687563. The next prime is 6125687653. The reversal of 6125687568 is 8657865216.

6125687568 is a `hidden beast` number, since 6 + 1 + 2 + 568 + 75 + 6 + 8 = 666.

It is not an unprimeable number, because it can be changed into a prime (6125687563) by changing a digit.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 13116871 + ... + 13117337.

Almost surely, 2^6125687568 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6125687568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11803969944).

6125687568 is an abundant number, since it is smaller than the sum of its proper divisors (17482252320).

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

6125687568 is a wasteful number, since it uses less digits than its factorization.

6125687568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 532 (or 503 counting only the distinct ones).

The product of its digits is 4838400, while the sum is 54.

The square root of 6125687568 is about 78266.7718000430. The cubic root of 6125687568 is about 1829.7213156201.

The spelling of 6125687568 in words is "six billion, one hundred twenty-five million, six hundred eighty-seven thousand, five hundred sixty-eight".