20743444800 has 504 divisors, whose sum is σ = 82157788440. Its totient is φ = 4928716800.

The previous prime is 20743444789. The next prime is 20743444819. The reversal of 20743444800 is 844434702.

It is a happy number.

20743444800 is a `hidden beast` number, since 207 + 4 + 3 + 4 + 448 + 0 + 0 = 666.

It can be written as a sum of positive squares in 12 ways, for example, as 4551391296 + 16192053504 = 67464^2 + 127248^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 5426890 + ... + 5430710.

It is an arithmetic number, because the mean of its divisors is an integer number (163011485).

Almost surely, 2^20743444800 is an apocalyptic number.

20743444800 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 20743444800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41078894220).

20743444800 is an abundant number, since it is smaller than the sum of its proper divisors (61414343640).

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

20743444800 is a wasteful number, since it uses less digits than its factorization.

20743444800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3891 (or 3873 counting only the distinct ones).

The product of its (nonzero) digits is 86016, while the sum is 36.

The spelling of 20743444800 in words is "twenty billion, seven hundred forty-three million, four hundred forty-four thousand, eight hundred".