9907382458368 has 576 divisors, whose sum is σ = 30065301826560. Its totient is φ = 3139352985600.

The previous prime is 9907382458333. The next prime is 9907382458451. The reversal of 9907382458368 is 8638542837099.

9907382458368 is a `hidden beast` number, since 9 + 9 + 0 + 7 + 38 + 2 + 4 + 583 + 6 + 8 = 666.

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

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 9907382458296 and 9907382458305.

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 47 ways as a sum of consecutive naturals, for example, 8009201046 + ... + 8009202282.

It is an arithmetic number, because the mean of its divisors is an integer number (52196704560).

Almost surely, 2^{9907382458368} 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 9907382458368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15032650913280).

9907382458368 is an abundant number, since it is smaller than the sum of its proper divisors (20157919368192).

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

9907382458368 is a wasteful number, since it uses less digits than its factorization.

9907382458368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1534 (or 1511 counting only the distinct ones).

The product of its (nonzero) digits is 627056640, while the sum is 72.

The spelling of 9907382458368 in words is "nine trillion, nine hundred seven billion, three hundred eighty-two million, four hundred fifty-eight thousand, three hundred sixty-eight".