6766144640 has 32 divisors (see below), whose sum is σ = 16175316060. Its totient is φ = 2706457600.

The previous prime is 6766144639. The next prime is 6766144703. The reversal of 6766144640 is 464416676.

It can be written as a sum of positive squares in 2 ways, for example, as 6517009984 + 249134656 = 80728^2 + 15784^2 .

It is a tau number, because it is divible by the number of its divisors (32).

It is a junction number, because it is equal to n+sod(n) for n = 6766144591 and 6766144600.

It is an unprimeable number.

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 3 ways as a sum of consecutive naturals, for example, 5285411 + ... + 5286690.

Almost surely, 2^6766144640 is an apocalyptic number.

It is an amenable number.

6766144640 is an abundant number, since it is smaller than the sum of its proper divisors (9409171420).

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

6766144640 is a wasteful number, since it uses less digits than its factorization.

6766144640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10572120 (or 10572108 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 44.

The square root of 6766144640 is about 82256.5780956149. The cubic root of 6766144640 is about 1891.3871138145.

The spelling of 6766144640 in words is "six billion, seven hundred sixty-six million, one hundred forty-four thousand, six hundred forty".