9672967316520 has 256 divisors, whose sum is σ = 32419867680000. Its totient is φ = 2565334499328.

The previous prime is 9672967316483. The next prime is 9672967316527. The reversal of 9672967316520 is 256137692769.

9672967316520 is a `hidden beast` number, since 9 + 6 + 7 + 2 + 96 + 7 + 3 + 16 + 520 = 666.

It is not an unprimeable number, because it can be changed into a prime (9672967316527) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1264601656 + ... + 1264609304.

It is an arithmetic number, because the mean of its divisors is an integer number (126640108125).

Almost surely, 2^{9672967316520} is an apocalyptic number.

9672967316520 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 9672967316520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16209933840000).

9672967316520 is an abundant number, since it is smaller than the sum of its proper divisors (22746900363480).

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

9672967316520 is a wasteful number, since it uses less digits than its factorization.

9672967316520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13929 (or 13919 counting only the distinct ones).

The product of its (nonzero) digits is 51438240, while the sum is 63.

The spelling of 9672967316520 in words is "nine trillion, six hundred seventy-two billion, nine hundred sixty-seven million, three hundred sixteen thousand, five hundred twenty".