7656788268 has 36 divisors (see below), whose sum is σ = 19357386048. Its totient is φ = 2551903200.

The previous prime is 7656788267. The next prime is 7656788273. The reversal of 7656788268 is 8628876567.

7656788268 is a `hidden beast` number, since 7 + 6 + 567 + 8 + 8 + 2 + 68 = 666.

It is a tau number, because it is divible by the number of its divisors (36).

It is not an unprimeable number, because it can be changed into a prime (7656788261) 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 11 ways as a sum of consecutive naturals, for example, 406630 + ... + 425042.

It is an arithmetic number, because the mean of its divisors is an integer number (537705168).

Almost surely, 2^7656788268 is an apocalyptic number.

It is an amenable number.

7656788268 is an abundant number, since it is smaller than the sum of its proper divisors (11700597780).

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

7656788268 is a wasteful number, since it uses less digits than its factorization.

7656788268 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29974 (or 29969 counting only the distinct ones).

The product of its digits is 54190080, while the sum is 63.

The square root of 7656788268 is about 87503.0757630839. The cubic root of 7656788268 is about 1970.9799781278.

The spelling of 7656788268 in words is "seven billion, six hundred fifty-six million, seven hundred eighty-eight thousand, two hundred sixty-eight".