22757937603768 has 384 divisors, whose sum is σ = 66405740544000. Its totient is φ = 7019717126400.

The previous prime is 22757937603761. The next prime is 22757937603781. The reversal of 22757937603768 is 86730673975722.

It is a happy number.

22757937603768 is a `hidden beast` number, since 2 + 2 + 7 + 5 + 7 + 9 + 3 + 7 + 603 + 7 + 6 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 22757937603696 and 22757937603705.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22757937603761) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 9950999121 + ... + 9951001407.

It is an arithmetic number, because the mean of its divisors is an integer number (172931616000).

Almost surely, 2^{22757937603768} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22757937603768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33202870272000).

22757937603768 is an abundant number, since it is smaller than the sum of its proper divisors (43647802940232).

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

22757937603768 is a wasteful number, since it uses less digits than its factorization.

22757937603768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3255 (or 3248 counting only the distinct ones).

The product of its (nonzero) digits is 1120210560, while the sum is 72.

The spelling of 22757937603768 in words is "twenty-two trillion, seven hundred fifty-seven billion, nine hundred thirty-seven million, six hundred three thousand, seven hundred sixty-eight".