9966237120 has 672 divisors, whose sum is σ = 41629925376. Its totient is φ = 2139955200.

The previous prime is 9966237109. The next prime is 9966237137. The reversal of 9966237120 is 217326699.

It is a happy number.

9966237120 is a `hidden beast` number, since 9 + 9 + 6 + 623 + 7 + 12 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

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 95 ways as a sum of consecutive naturals, for example, 23123305 + ... + 23123735.

Almost surely, 2^9966237120 is an apocalyptic number.

9966237120 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 9966237120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20814962688).

9966237120 is an abundant number, since it is smaller than the sum of its proper divisors (31663688256).

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

9966237120 is a wasteful number, since it uses less digits than its factorization.

9966237120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 529 (or 516 counting only the distinct ones).

The product of its (nonzero) digits is 244944, while the sum is 45.

The square root of 9966237120 is about 99831.0428674368. The cubic root of 9966237120 is about 2152.0072921170.

The spelling of 9966237120 in words is "nine billion, nine hundred sixty-six million, two hundred thirty-seven thousand, one hundred twenty".