9916663680 has 1024 divisors, whose sum is σ = 45474048000. Its totient is φ = 1981808640.

The previous prime is 9916663667. The next prime is 9916663717. The reversal of 9916663680 is 863666199.

It is a super-2 number, since 2×9916663680² (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 pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 38586112 + ... + 38586368.

It is an arithmetic number, because the mean of its divisors is an integer number (44408250).

Almost surely, 2^9916663680 is an apocalyptic number.

9916663680 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 9916663680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22737024000).

9916663680 is an abundant number, since it is smaller than the sum of its proper divisors (35557384320).

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

9916663680 is a wasteful number, since it uses less digits than its factorization.

9916663680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 332 (or 314 counting only the distinct ones).

The product of its (nonzero) digits is 2519424, while the sum is 54.

The square root of 9916663680 is about 99582.4466459827. The cubic root of 9916663680 is about 2148.4332324240.

The spelling of 9916663680 in words is "nine billion, nine hundred sixteen million, six hundred sixty-three thousand, six hundred eighty".