9667382400 has 960 divisors, whose sum is σ = 40708852800. Its totient is φ = 2239488000.

The previous prime is 9667382399. The next prime is 9667382407. The reversal of 9667382400 is 42837669.

It is a tau number, because it is divible by the number of its divisors (960).

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

It is not an unprimeable number, because it can be changed into a prime (9667382407) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 64022325 + ... + 64022475.

It is an arithmetic number, because the mean of its divisors is an integer number (42405055).

Almost surely, 2^9667382400 is an apocalyptic number.

9667382400 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 9667382400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20354426400).

9667382400 is an abundant number, since it is smaller than the sum of its proper divisors (31041470400).

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

9667382400 is a wasteful number, since it uses less digits than its factorization.

9667382400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 219 (or 193 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 45.

The square root of 9667382400 is about 98322.8478025327. The cubic root of 9667382400 is about 2130.2780831139.

The spelling of 9667382400 in words is "nine billion, six hundred sixty-seven million, three hundred eighty-two thousand, four hundred".