20735668224 has 312 divisors, whose sum is σ = 63112900032. Its totient is φ = 6801408000.

The previous prime is 20735668223. The next prime is 20735668231. The reversal of 20735668224 is 42286653702.

20735668224 is a `hidden beast` number, since 2 + 0 + 7 + 3 + 566 + 82 + 2 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 20735668224.

It is not an unprimeable number, because it can be changed into a prime (20735668223) 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 23 ways as a sum of consecutive naturals, for example, 82612099 + ... + 82612349.

It is an arithmetic number, because the mean of its divisors is an integer number (202284936).

Almost surely, 2^20735668224 is an apocalyptic number.

20735668224 is a gapful number since it is divisible by the number (24) 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 20735668224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31556450016).

20735668224 is an abundant number, since it is smaller than the sum of its proper divisors (42377231808).

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

20735668224 is an frugal number, since it uses more digits than its factorization.

20735668224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 373 (or 339 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 45.

The spelling of 20735668224 in words is "twenty billion, seven hundred thirty-five million, six hundred sixty-eight thousand, two hundred twenty-four".