20664768563712 has 1200 divisors, whose sum is σ = 77450508162720. Its totient is φ = 5437194190848.

The previous prime is 20664768563707. The next prime is 20664768563731. The reversal of 20664768563712 is 21736586746602.

It is a happy number.

20664768563712 is a `hidden beast` number, since 2 + 0 + 6 + 6 + 4 + 7 + 68 + 563 + 7 + 1 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a self number, because there is not a number n which added to its sum of digits gives 20664768563712.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 17409239983 + ... + 17409241169.

Almost surely, 2^{20664768563712} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20664768563712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38725254081360).

20664768563712 is an abundant number, since it is smaller than the sum of its proper divisors (56785739599008).

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

20664768563712 is a wasteful number, since it uses less digits than its factorization.

20664768563712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1903 (or 1871 counting only the distinct ones).

The product of its (nonzero) digits is 121927680, while the sum is 63.

The spelling of 20664768563712 in words is "twenty trillion, six hundred sixty-four billion, seven hundred sixty-eight million, five hundred sixty-three thousand, seven hundred twelve".