9925609344 has 384 divisors, whose sum is σ = 32211885600. Its totient is φ = 2697117696.

The previous prime is 9925609301. The next prime is 9925609349. The reversal of 9925609344 is 4439065299.

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

It is a super-2 number, since 2×9925609344² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9925609349) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 36898042 + ... + 36898310.

Almost surely, 2^9925609344 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 9925609344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16105942800).

9925609344 is an abundant number, since it is smaller than the sum of its proper divisors (22286276256).

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

9925609344 is a wasteful number, since it uses less digits than its factorization.

9925609344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 390 (or 371 counting only the distinct ones).

The product of its (nonzero) digits is 2099520, while the sum is 51.

The square root of 9925609344 is about 99627.3523887893. The cubic root of 9925609344 is about 2149.0790607065.

The spelling of 9925609344 in words is "nine billion, nine hundred twenty-five million, six hundred nine thousand, three hundred forty-four".