20727744480 has 672 divisors, whose sum is σ = 79325568000. Its totient is φ = 5099314176.

The previous prime is 20727744451. The next prime is 20727744491. The reversal of 20727744480 is 8444772702.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 104159421 + ... + 104159619.

It is an arithmetic number, because the mean of its divisors is an integer number (118044000).

Almost surely, 2^20727744480 is an apocalyptic number.

20727744480 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 20727744480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39662784000).

20727744480 is an abundant number, since it is smaller than the sum of its proper divisors (58597823520).

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

20727744480 is a wasteful number, since it uses less digits than its factorization.

20727744480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 298 (or 275 counting only the distinct ones).

The product of its (nonzero) digits is 702464, while the sum is 45.

The spelling of 20727744480 in words is "twenty billion, seven hundred twenty-seven million, seven hundred forty-four thousand, four hundred eighty".