9918625167360 has 3072 divisors, whose sum is σ = 45635633971200. Its totient is φ = 2012314337280.

The previous prime is 9918625167359. The next prime is 9918625167383. The reversal of 9918625167360 is 637615268199.

9918625167360 is a `hidden beast` number, since 9 + 9 + 1 + 86 + 2 + 516 + 7 + 36 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3072).

It is a Harshad number since it is a multiple of its sum of digits (63).

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 255 ways as a sum of consecutive naturals, for example, 63175956402 + ... + 63175956558.

It is an arithmetic number, because the mean of its divisors is an integer number (14855349600).

Almost surely, 2^{9918625167360} is an apocalyptic number.

9918625167360 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9918625167360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22817816985600).

9918625167360 is an abundant number, since it is smaller than the sum of its proper divisors (35717008803840).

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

9918625167360 is a wasteful number, since it uses less digits than its factorization.

9918625167360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 256 (or 218 counting only the distinct ones).

The product of its (nonzero) digits is 29393280, while the sum is 63.

The spelling of 9918625167360 in words is "nine trillion, nine hundred eighteen billion, six hundred twenty-five million, one hundred sixty-seven thousand, three hundred sixty".