9905622408 has 192 divisors, whose sum is σ = 30819398400. Its totient is φ = 2944656000.

The previous prime is 9905622401. The next prime is 9905622413. The reversal of 9905622408 is 8042265099.

9905622408 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (9905622401) 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, 1381633 + ... + 1388783.

It is an arithmetic number, because the mean of its divisors is an integer number (160517700).

Almost surely, 2^9905622408 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 9905622408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15409699200).

9905622408 is an abundant number, since it is smaller than the sum of its proper divisors (20913775992).

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

9905622408 is a wasteful number, since it uses less digits than its factorization.

9905622408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7241 (or 7220 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The square root of 9905622408 is about 99526.9933636097. The cubic root of 9905622408 is about 2147.6355768895.

The spelling of 9905622408 in words is "nine billion, nine hundred five million, six hundred twenty-two thousand, four hundred eight".