65608748676000 has 288 divisors, whose sum is σ = 240874606299600. Its totient is φ = 16892367206400.

The previous prime is 65608748675917. The next prime is 65608748676017. The reversal of 65608748676000 is 67684780656.

65608748676000 is a `hidden beast` number, since 6 + 5 + 6 + 0 + 87 + 486 + 76 + 0 + 0 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 24212604816 + 65584536071184 = 155604^2 + 8098428^2 .

It is a tau number, because it is divible by the number of its divisors (288).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 30377815 + ... + 32465814.

Almost surely, 2^{65608748676000} is an apocalyptic number.

65608748676000 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

65608748676000 is an abundant number, since it is smaller than the sum of its proper divisors (175265857623600).

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

65608748676000 is a wasteful number, since it uses less digits than its factorization.

65608748676000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 62843689 (or 62843668 counting only the distinct ones).

The product of its (nonzero) digits is 81285120, while the sum is 63.

The spelling of 65608748676000 in words is "sixty-five trillion, six hundred eight billion, seven hundred forty-eight million, six hundred seventy-six thousand".