22724496000 has 512 divisors, whose sum is σ = 85810233600. Its totient is φ = 5907456000.

The previous prime is 22724495987. The next prime is 22724496007. The reversal of 22724496000 is 69442722.

22724496000 is a `hidden beast` number, since 2 + 2 + 7 + 2 + 4 + 49 + 600 + 0 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (22724496007) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 17711359 + ... + 17712641.

Almost surely, 2^22724496000 is an apocalyptic number.

22724496000 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 22724496000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42905116800).

22724496000 is an abundant number, since it is smaller than the sum of its proper divisors (63085737600).

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

22724496000 is a wasteful number, since it uses less digits than its factorization.

22724496000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1362 (or 1334 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The spelling of 22724496000 in words is "twenty-two billion, seven hundred twenty-four million, four hundred ninety-six thousand".