22526940672 has 160 divisors (see below), whose sum is σ = 67006008960. Its totient is φ = 7472424960.

The previous prime is 22526940671. The next prime is 22526940691. The reversal of 22526940672 is 27604962522.

22526940672 is a `hidden beast` number, since 22 + 526 + 9 + 40 + 67 + 2 = 666.

It is a super-3 number, since 3×22526940672³ (a number of 32 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22526940671) 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 15 ways as a sum of consecutive naturals, for example, 2913003 + ... + 2920725.

It is an arithmetic number, because the mean of its divisors is an integer number (418787556).

Almost surely, 2^22526940672 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 22526940672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33503004480).

22526940672 is an abundant number, since it is smaller than the sum of its proper divisors (44479068288).

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

22526940672 is an equidigital number, since it uses as much as digits as its factorization.

22526940672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7961 (or 7939 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 45.

The spelling of 22526940672 in words is "twenty-two billion, five hundred twenty-six million, nine hundred forty thousand, six hundred seventy-two".