20744349674400 has 2160 divisors, whose sum is σ = 92689747476480. Its totient is φ = 4483454976000.

The previous prime is 20744349674351. The next prime is 20744349674401. The reversal of 20744349674400 is 447694344702.

20744349674400 is a `hidden beast` number, since 2 + 0 + 7 + 4 + 43 + 496 + 74 + 40 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2160).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (20744349674401) by changing a digit.

It is a polite number, since it can be written in 359 ways as a sum of consecutive naturals, for example, 2532574305 + ... + 2532582495.

It is an arithmetic number, because the mean of its divisors is an integer number (42911920128).

Almost surely, 2^{20744349674400} is an apocalyptic number.

20744349674400 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 20744349674400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46344873738240).

20744349674400 is an abundant number, since it is smaller than the sum of its proper divisors (71945397802080).

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

20744349674400 is a wasteful number, since it uses less digits than its factorization.

20744349674400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8281 (or 8248 counting only the distinct ones).

The product of its (nonzero) digits is 16257024, while the sum is 54.

The spelling of 20744349674400 in words is "twenty trillion, seven hundred forty-four billion, three hundred forty-nine million, six hundred seventy-four thousand, four hundred".