22641989760 has 384 divisors, whose sum is σ = 85597490160. Its totient is φ = 5480939520.

The previous prime is 22641989717. The next prime is 22641989779. The reversal of 22641989760 is 6798914622.

It can be written as a sum of positive squares in 8 ways, for example, as 3591365184 + 19050624576 = 59928^2 + 138024^2 .

It is a tau number, because it is divible by the number of its divisors (384).

It is a junction number, because it is equal to n+sod(n) for n = 22641989697 and 22641989706.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4565202 + ... + 4570158.

Almost surely, 2^22641989760 is an apocalyptic number.

22641989760 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 22641989760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42798745080).

22641989760 is an abundant number, since it is smaller than the sum of its proper divisors (62955500400).

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

22641989760 is a wasteful number, since it uses less digits than its factorization.

22641989760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5056 (or 5041 counting only the distinct ones).

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

The spelling of 22641989760 in words is "twenty-two billion, six hundred forty-one million, nine hundred eighty-nine thousand, seven hundred sixty".