9667571712624 has 240 divisors, whose sum is σ = 31043133588480. Its totient is φ = 2751249784320.

The previous prime is 9667571712611. The next prime is 9667571712629. The reversal of 9667571712624 is 4262171757669.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9667571712629) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1460575587 + ... + 1460582205.

It is an arithmetic number, because the mean of its divisors is an integer number (129346389952).

Almost surely, 2^{9667571712624} 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 9667571712624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15521566794240).

9667571712624 is an abundant number, since it is smaller than the sum of its proper divisors (21375561875856).

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

9667571712624 is a wasteful number, since it uses less digits than its factorization.

9667571712624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12148 (or 12139 counting only the distinct ones).

The product of its digits is 53343360, while the sum is 63.

The spelling of 9667571712624 in words is "nine trillion, six hundred sixty-seven billion, five hundred seventy-one million, seven hundred twelve thousand, six hundred twenty-four".