6106560768 has 216 divisors, whose sum is σ = 21951873216. Its totient is φ = 1586073600.

The previous prime is 6106560751. The next prime is 6106560781. The reversal of 6106560768 is 8670656016.

6106560768 is a `hidden beast` number, since 6 + 10 + 6 + 560 + 76 + 8 = 666.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 160198 + ... + 194618.

Almost surely, 2^6106560768 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 6106560768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10975936608).

6106560768 is an abundant number, since it is smaller than the sum of its proper divisors (15845312448).

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

6106560768 is a wasteful number, since it uses less digits than its factorization.

6106560768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34461 (or 34444 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The square root of 6106560768 is about 78144.4864849722. The cubic root of 6106560768 is about 1827.8149608326.

The spelling of 6106560768 in words is "six billion, one hundred six million, five hundred sixty thousand, seven hundred sixty-eight".