9906625034208 has 336 divisors, whose sum is σ = 33520719851136. Its totient is φ = 2821897647360.

The previous prime is 9906625034203. The next prime is 9906625034219. The reversal of 9906625034208 is 8024305266099.

It is a happy number.

9906625034208 is a `hidden beast` number, since 9 + 9 + 0 + 6 + 625 + 0 + 3 + 4 + 2 + 0 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9906625034203) by changing a digit.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 53959335 + ... + 54142617.

It is an arithmetic number, because the mean of its divisors is an integer number (99764047176).

Almost surely, 2^{9906625034208} 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 9906625034208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16760359925568).

9906625034208 is an abundant number, since it is smaller than the sum of its proper divisors (23614094816928).

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

9906625034208 is a wasteful number, since it uses less digits than its factorization.

9906625034208 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 183649 (or 183626 counting only the distinct ones).

The product of its (nonzero) digits is 5598720, while the sum is 54.

The spelling of 9906625034208 in words is "nine trillion, nine hundred six billion, six hundred twenty-five million, thirty-four thousand, two hundred eight".