6567876768 has 96 divisors (see below), whose sum is σ = 17428884480. Its totient is φ = 2165518080.

The previous prime is 6567876767. The next prime is 6567876779. The reversal of 6567876768 is 8676787656.

It is a tau number, because it is divible by the number of its divisors (96).

It is a junction number, because it is equal to n+sod(n) for n = 6567876699 and 6567876708.

It is not an unprimeable number, because it can be changed into a prime (6567876767) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4416121 + ... + 4417607.

It is an arithmetic number, because the mean of its divisors is an integer number (181550880).

Almost surely, 2^6567876768 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 6567876768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8714442240).

6567876768 is an abundant number, since it is smaller than the sum of its proper divisors (10861007712).

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

6567876768 is a wasteful number, since it uses less digits than its factorization.

6567876768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1970 (or 1962 counting only the distinct ones).

The product of its digits is 142248960, while the sum is 66.

The square root of 6567876768 is about 81042.4380679654. The cubic root of 6567876768 is about 1872.7292706149.

The spelling of 6567876768 in words is "six billion, five hundred sixty-seven million, eight hundred seventy-six thousand, seven hundred sixty-eight".