65668064556564 has 48 divisors (see below), whose sum is σ = 170252496892800. Its totient is φ = 21889102961088.

The previous prime is 65668064556533. The next prime is 65668064556599. The reversal of 65668064556564 is 46565546086656.

65668064556564 is a `hidden beast` number, since 6 + 5 + 6 + 6 + 8 + 0 + 6 + 4 + 5 + 56 + 564 = 666.

65668064556564 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 65668064556492 and 65668064556501.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6050272 + ... + 12959240.

It is an arithmetic number, because the mean of its divisors is an integer number (3546927018600).

Almost surely, 2^{65668064556564} is an apocalyptic number.

It is an amenable number.

65668064556564 is an abundant number, since it is smaller than the sum of its proper divisors (104584432336236).

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

65668064556564 is a wasteful number, since it uses less digits than its factorization.

65668064556564 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6996989 (or 6996981 counting only the distinct ones).

The product of its (nonzero) digits is 3732480000, while the sum is 72.

The spelling of 65668064556564 in words is "sixty-five trillion, six hundred sixty-eight billion, sixty-four million, five hundred fifty-six thousand, five hundred sixty-four".