22724324064 has 288 divisors, whose sum is σ = 75556454400. Its totient is φ = 6623285760.

The previous prime is 22724324027. The next prime is 22724324081. The reversal of 22724324064 is 46042342722.

22724324064 is a `hidden beast` number, since 2 + 2 + 7 + 243 + 2 + 406 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2770209 + ... + 2778399.

It is an arithmetic number, because the mean of its divisors is an integer number (262348800).

Almost surely, 2^22724324064 is an apocalyptic number.

22724324064 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 22724324064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37778227200).

22724324064 is an abundant number, since it is smaller than the sum of its proper divisors (52832130336).

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

22724324064 is a wasteful number, since it uses less digits than its factorization.

22724324064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8255 (or 8228 counting only the distinct ones).

The product of its (nonzero) digits is 129024, while the sum is 36.

Adding to 22724324064 its reverse (46042342722), we get a palindrome (68766666786).

The spelling of 22724324064 in words is "twenty-two billion, seven hundred twenty-four million, three hundred twenty-four thousand, sixty-four".