9995605620 has 384 divisors, whose sum is σ = 38388252672. Its totient is φ = 1875916800.

The previous prime is 9995605601. The next prime is 9995605637. The reversal of 9995605620 is 265065999.

9995605620 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

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 127 ways as a sum of consecutive naturals, for example, 2821050 + ... + 2824590.

It is an arithmetic number, because the mean of its divisors is an integer number (99969408).

Almost surely, 2^9995605620 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 9995605620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19194126336).

9995605620 is an abundant number, since it is smaller than the sum of its proper divisors (28392647052).

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

9995605620 is a wasteful number, since it uses less digits than its factorization.

9995605620 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3631 (or 3629 counting only the distinct ones).

The product of its (nonzero) digits is 1312200, while the sum is 51.

The square root of 9995605620 is about 99978.0256856475. The cubic root of 9995605620 is about 2154.1190636375.

The spelling of 9995605620 in words is "nine billion, nine hundred ninety-five million, six hundred five thousand, six hundred twenty".