22645710760 has 128 divisors (see below), whose sum is σ = 54533295360. Its totient is φ = 8444620800.

The previous prime is 22645710719. The next prime is 22645710767. The reversal of 22645710760 is 6701754622.

It is a hoax number, since the sum of its digits (40) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (22645710767) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 6339775 + ... + 6343345.

It is an arithmetic number, because the mean of its divisors is an integer number (426041370).

Almost surely, 2^22645710760 is an apocalyptic number.

22645710760 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 22645710760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27266647680).

22645710760 is an abundant number, since it is smaller than the sum of its proper divisors (31887584600).

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

22645710760 is a wasteful number, since it uses less digits than its factorization.

22645710760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3779 (or 3775 counting only the distinct ones).

The product of its (nonzero) digits is 141120, while the sum is 40.

The spelling of 22645710760 in words is "twenty-two billion, six hundred forty-five million, seven hundred ten thousand, seven hundred sixty".