22727638640 has 240 divisors, whose sum is σ = 66163604544. Its totient is φ = 7212441600.

The previous prime is 22727638627. The next prime is 22727638643. The reversal of 22727638640 is 4683672722.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22727638643) 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 47 ways as a sum of consecutive naturals, for example, 4062245 + ... + 4067835.

Almost surely, 2^22727638640 is an apocalyptic number.

22727638640 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 22727638640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33081802272).

22727638640 is an abundant number, since it is smaller than the sum of its proper divisors (43435965904).

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

22727638640 is a wasteful number, since it uses less digits than its factorization.

22727638640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5696 (or 5683 counting only the distinct ones).

The product of its (nonzero) digits is 1354752, while the sum is 47.

The spelling of 22727638640 in words is "twenty-two billion, seven hundred twenty-seven million, six hundred thirty-eight thousand, six hundred forty".