9672167909376 has 288 divisors, whose sum is σ = 33329047752000. Its totient is φ = 2763475771392.

The previous prime is 9672167909333. The next prime is 9672167909387. The reversal of 9672167909376 is 6739097612769.

9672167909376 is a `hidden beast` number, since 9 + 6 + 7 + 2 + 167 + 90 + 9 + 376 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 924645 + ... + 4494363.

It is an arithmetic number, because the mean of its divisors is an integer number (115725860250).

Almost surely, 2^{9672167909376} is an apocalyptic number.

9672167909376 is a gapful number since it is divisible by the number (96) 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 9672167909376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16664523876000).

9672167909376 is an abundant number, since it is smaller than the sum of its proper divisors (23656879842624).

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

9672167909376 is a wasteful number, since it uses less digits than its factorization.

9672167909376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3569764 (or 3569731 counting only the distinct ones).

The product of its (nonzero) digits is 324060912, while the sum is 72.

The spelling of 9672167909376 in words is "nine trillion, six hundred seventy-two billion, one hundred sixty-seven million, nine hundred nine thousand, three hundred seventy-six".