9966615120 has 720 divisors, whose sum is σ = 42913503360. Its totient is φ = 2028533760.

The previous prime is 9966615119. The next prime is 9966615137. The reversal of 9966615120 is 215166699.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (720).

It is a super-2 number, since 2×9966615120² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 35980422 + ... + 35980698.

It is an arithmetic number, because the mean of its divisors is an integer number (59602088).

Almost surely, 2^9966615120 is an apocalyptic number.

9966615120 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 9966615120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21456751680).

9966615120 is an abundant number, since it is smaller than the sum of its proper divisors (32946888240).

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

9966615120 is a wasteful number, since it uses less digits than its factorization.

9966615120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 384 (or 364 counting only the distinct ones).

The product of its (nonzero) digits is 174960, while the sum is 45.

The square root of 9966615120 is about 99832.9360481800. The cubic root of 9966615120 is about 2152.0344989241.

The spelling of 9966615120 in words is "nine billion, nine hundred sixty-six million, six hundred fifteen thousand, one hundred twenty".