20743568768000 has 704 divisors, whose sum is σ = 57892101915648. Its totient is φ = 7367683276800.

The previous prime is 20743568767963. The next prime is 20743568768009. The reversal of 20743568768000 is 86786534702.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20743568768009) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4793981837 + ... + 4793986163.

It is an arithmetic number, because the mean of its divisors is an integer number (82233099312).

Almost surely, 2^{20743568768000} is an apocalyptic number.

20743568768000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20743568768000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28946050957824).

20743568768000 is an abundant number, since it is smaller than the sum of its proper divisors (37148533147648).

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

20743568768000 is a wasteful number, since it uses less digits than its factorization.

20743568768000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4485 (or 4457 counting only the distinct ones).

The product of its (nonzero) digits is 13547520, while the sum is 56.

The spelling of 20743568768000 in words is "twenty trillion, seven hundred forty-three billion, five hundred sixty-eight million, seven hundred sixty-eight thousand".