22626919728 has 720 divisors, whose sum is σ = 82544716800. Its totient is φ = 5994269568.

The previous prime is 22626919703. The next prime is 22626919729. The reversal of 22626919728 is 82791962622.

22626919728 is a `hidden beast` number, since 2 + 2 + 626 + 9 + 1 + 9 + 7 + 2 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22626919729) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 481423801 + ... + 481423847.

It is an arithmetic number, because the mean of its divisors is an integer number (114645440).

Almost surely, 2^22626919728 is an apocalyptic number.

22626919728 is a gapful number since it is divisible by the number (28) 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 22626919728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41272358400).

22626919728 is an abundant number, since it is smaller than the sum of its proper divisors (59917797072).

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

22626919728 is an equidigital number, since it uses as much as digits as its factorization.

22626919728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 129 (or 78 counting only the distinct ones).

The product of its digits is 2612736, while the sum is 54.

The spelling of 22626919728 in words is "twenty-two billion, six hundred twenty-six million, nine hundred nineteen thousand, seven hundred twenty-eight".