20742720000 has 800 divisors, whose sum is σ = 77314051584. Its totient is φ = 4915200000.

The previous prime is 20742719999. The next prime is 20742720001. The reversal of 20742720000 is 2724702.

It is an interprime number because it is at equal distance from previous prime (20742719999) and next prime (20742720001).

It is a tau number, because it is divible by the number of its divisors (800).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20742720001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 505919980 + ... + 505920020.

Almost surely, 2^20742720000 is an apocalyptic number.

20742720000 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 20742720000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38657025792).

20742720000 is an abundant number, since it is smaller than the sum of its proper divisors (56571331584).

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

20742720000 is an equidigital number, since it uses as much as digits as its factorization.

20742720000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 130 (or 99 counting only the distinct ones).

The product of its (nonzero) digits is 1568, while the sum is 24.

The spelling of 20742720000 in words is "twenty billion, seven hundred forty-two million, seven hundred twenty thousand".