9667414752 has 96 divisors (see below), whose sum is σ = 27081879552. Its totient is φ = 3008968704.

The previous prime is 9667414739. The next prime is 9667414787. The reversal of 9667414752 is 2574147669.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a junction number, because it is equal to n+sod(n) for n = 9667414695 and 9667414704.

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 15 ways as a sum of consecutive naturals, for example, 183943 + ... + 230585.

It is an arithmetic number, because the mean of its divisors is an integer number (282102912).

Almost surely, 2^9667414752 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 9667414752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13540939776).

9667414752 is an abundant number, since it is smaller than the sum of its proper divisors (17414464800).

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

9667414752 is a wasteful number, since it uses less digits than its factorization.

9667414752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46800 (or 46792 counting only the distinct ones).

The product of its digits is 2540160, while the sum is 51.

The square root of 9667414752 is about 98323.0123216330. The cubic root of 9667414752 is about 2130.2804594442.

The spelling of 9667414752 in words is "nine billion, six hundred sixty-seven million, four hundred fourteen thousand, seven hundred fifty-two".