9667874832 has 480 divisors, whose sum is σ = 33564518400. Its totient is φ = 2390572800.

The previous prime is 9667874767. The next prime is 9667874837. The reversal of 9667874832 is 2384787669.

Its product of digits (24385536) is a multiple of the sum of its prime factors (288).

It is not an unprimeable number, because it can be changed into a prime (9667874837) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 45819207 + ... + 45819417.

It is an arithmetic number, because the mean of its divisors is an integer number (69926080).

Almost surely, 2^9667874832 is an apocalyptic number.

9667874832 is a gapful number since it is divisible by the number (92) 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 9667874832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16782259200).

9667874832 is an abundant number, since it is smaller than the sum of its proper divisors (23896643568).

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

9667874832 is a wasteful number, since it uses less digits than its factorization.

9667874832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 288 (or 257 counting only the distinct ones).

The product of its digits is 24385536, while the sum is 60.

The square root of 9667874832 is about 98325.3519291947. The cubic root of 9667874832 is about 2130.3142528250.

The spelling of 9667874832 in words is "nine billion, six hundred sixty-seven million, eight hundred seventy-four thousand, eight hundred thirty-two".