22724260765040 has 320 divisors, whose sum is σ = 56114217984000. Its totient is φ = 8546647633920.

The previous prime is 22724260764923. The next prime is 22724260765043. The reversal of 22724260765040 is 4056706242722.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22724260765043) 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, 4147517021 + ... + 4147522499.

It is an arithmetic number, because the mean of its divisors is an integer number (175356931200).

Almost surely, 2^{22724260765040} is an apocalyptic number.

22724260765040 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 22724260765040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28057108992000).

22724260765040 is an abundant number, since it is smaller than the sum of its proper divisors (33389957218960).

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

22724260765040 is a wasteful number, since it uses less digits than its factorization.

22724260765040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5928 (or 5922 counting only the distinct ones).

The product of its (nonzero) digits is 2257920, while the sum is 47.

The spelling of 22724260765040 in words is "twenty-two trillion, seven hundred twenty-four billion, two hundred sixty million, seven hundred sixty-five thousand, forty".