22449200640 has 160 divisors (see below), whose sum is σ = 71863212960. Its totient is φ = 5978456064.

The previous prime is 22449200633. The next prime is 22449200647. The reversal of 22449200640 is 4600294422.

It is an interprime number because it is at equal distance from previous prime (22449200633) and next prime (22449200647).

It is a tau number, because it is divible by the number of its divisors (160).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22449200647) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7747672 + ... + 7750568.

It is an arithmetic number, because the mean of its divisors is an integer number (449145081).

Almost surely, 2^22449200640 is an apocalyptic number.

22449200640 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 22449200640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35931606480).

22449200640 is an abundant number, since it is smaller than the sum of its proper divisors (49414012320).

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

22449200640 is a wasteful number, since it uses less digits than its factorization.

22449200640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3932 (or 3916 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 33.

The spelling of 22449200640 in words is "twenty-two billion, four hundred forty-nine million, two hundred thousand, six hundred forty".