9917624448 has 320 divisors, whose sum is σ = 30728617920. Its totient is φ = 3172608000.

The previous prime is 9917624369. The next prime is 9917624459. The reversal of 9917624448 is 8444267199.

9917624448 is a `hidden beast` number, since 9 + 9 + 1 + 7 + 624 + 4 + 4 + 8 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 9917624394 and 9917624403.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 39512323 + ... + 39512573.

It is an arithmetic number, because the mean of its divisors is an integer number (96026931).

Almost surely, 2^9917624448 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 9917624448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15364308960).

9917624448 is an abundant number, since it is smaller than the sum of its proper divisors (20810993472).

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

9917624448 is a wasteful number, since it uses less digits than its factorization.

9917624448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 417 (or 396 counting only the distinct ones).

The product of its digits is 3483648, while the sum is 54.

The square root of 9917624448 is about 99587.2705118480. The cubic root of 9917624448 is about 2148.5026132598.

The spelling of 9917624448 in words is "nine billion, nine hundred seventeen million, six hundred twenty-four thousand, four hundred forty-eight".