9988496743680 has 1152 divisors, whose sum is σ = 44515965312000. Its totient is φ = 2107430535168.

The previous prime is 9988496743661. The next prime is 9988496743703. The reversal of 9988496743680 is 863476948899.

9988496743680 is a `hidden beast` number, since 9 + 9 + 8 + 8 + 49 + 67 + 436 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a super-3 number, since 3×9988496743680³ (a number of 40 digits) contains 333 as substring.

It is a Smith number, since the sum of its digits (81) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 9988496743680.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 154070632 + ... + 154135448.

It is an arithmetic number, because the mean of its divisors is an integer number (38642331000).

Almost surely, 2^{9988496743680} is an apocalyptic number.

9988496743680 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 9988496743680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22257982656000).

9988496743680 is an abundant number, since it is smaller than the sum of its proper divisors (34527468568320).

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

9988496743680 is a wasteful number, since it uses less digits than its factorization.

9988496743680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 64881 (or 64847 counting only the distinct ones).

The product of its (nonzero) digits is 4514807808, while the sum is 81.

It can be divided in two parts, 9988496 and 743680, that added together give a square (10732176 = 3276²).

The spelling of 9988496743680 in words is "nine trillion, nine hundred eighty-eight billion, four hundred ninety-six million, seven hundred forty-three thousand, six hundred eighty".