9995505408 has 576 divisors, whose sum is σ = 36262195200. Its totient is φ = 2652549120.

The previous prime is 9995505383. The next prime is 9995505431. The reversal of 9995505408 is 8045055999.

9995505408 is a `hidden beast` number, since 9 + 9 + 95 + 5 + 0 + 540 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a super-2 number, since 2×9995505408² (a number of 21 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 76301503 + ... + 76301633.

It is an arithmetic number, because the mean of its divisors is an integer number (62955200).

Almost surely, 2^9995505408 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 9995505408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18131097600).

9995505408 is an abundant number, since it is smaller than the sum of its proper divisors (26266689792).

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

9995505408 is a wasteful number, since it uses less digits than its factorization.

9995505408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 265 (or 245 counting only the distinct ones).

The product of its (nonzero) digits is 2916000, while the sum is 54.

The square root of 9995505408 is about 99977.5245142627. The cubic root of 9995505408 is about 2154.1118648307. Note that the first 3 decimals are identical.

The spelling of 9995505408 in words is "nine billion, nine hundred ninety-five million, five hundred five thousand, four hundred eight".