20609324648640 has 1344 divisors, whose sum is σ = 91891388805120. Its totient is φ = 4255723929600.

The previous prime is 20609324648639. The next prime is 20609324648657. The reversal of 20609324648640 is 4684642390602.

20609324648640 is a `hidden beast` number, since 2 + 0 + 60 + 9 + 3 + 2 + 464 + 86 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (1344).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 480371190 + ... + 480414090.

Almost surely, 2^{20609324648640} is an apocalyptic number.

20609324648640 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 20609324648640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45945694402560).

20609324648640 is an abundant number, since it is smaller than the sum of its proper divisors (71282064156480).

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

20609324648640 is a wasteful number, since it uses less digits than its factorization.

20609324648640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43007 (or 42978 counting only the distinct ones).

The product of its (nonzero) digits is 11943936, while the sum is 54.

The spelling of 20609324648640 in words is "twenty trillion, six hundred nine billion, three hundred twenty-four million, six hundred forty-eight thousand, six hundred forty".