9967007232 has 800 divisors, whose sum is σ = 38818348800. Its totient is φ = 2472394752.

The previous prime is 9967007177. The next prime is 9967007257. The reversal of 9967007232 is 2327007699.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 71705019 + ... + 71705157.

It is an arithmetic number, because the mean of its divisors is an integer number (48522936).

Almost surely, 2^9967007232 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9967007232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19409174400).

9967007232 is an abundant number, since it is smaller than the sum of its proper divisors (28851341568).

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

9967007232 is a wasteful number, since it uses less digits than its factorization.

9967007232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 208 (or 183 counting only the distinct ones).

The product of its (nonzero) digits is 285768, while the sum is 45.

The square root of 9967007232 is about 99834.8998697349. The cubic root of 9967007232 is about 2152.0627207251.

The spelling of 9967007232 in words is "nine billion, nine hundred sixty-seven million, seven thousand, two hundred thirty-two".