12657676832964 has 36 divisors (see below), whose sum is σ = 32599488452076. Its totient is φ = 4139617579968.

The previous prime is 12657676832929. The next prime is 12657676832971. The reversal of 12657676832964 is 46923867675621.

It is a happy number.

12657676832964 is a `hidden beast` number, since 1 + 26 + 576 + 7 + 6 + 8 + 3 + 29 + 6 + 4 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 4160498472900 + 8497178360064 = 2039730^2 + 2914992^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 12657676832892 and 12657676832901.

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 11 ways as a sum of consecutive naturals, for example, 3316999359 + ... + 3317003174.

It is an arithmetic number, because the mean of its divisors is an integer number (905541345891).

Almost surely, 2^{12657676832964} is an apocalyptic number.

It is an amenable number.

12657676832964 is an abundant number, since it is smaller than the sum of its proper divisors (19941811619112).

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

12657676832964 is a wasteful number, since it uses less digits than its factorization.

12657676832964 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6634002596 (or 6634002591 counting only the distinct ones).

The product of its digits is 1097349120, while the sum is 72.

The spelling of 12657676832964 in words is "twelve trillion, six hundred fifty-seven billion, six hundred seventy-six million, eight hundred thirty-two thousand, nine hundred sixty-four".