9697989240576 has 2304 divisors, whose sum is σ = 39875228467200. Its totient is φ = 2250917019648.

The previous prime is 9697989240571. The next prime is 9697989240619. The reversal of 9697989240576 is 6750429897969.

9697989240576 is a `hidden beast` number, since 9 + 69 + 7 + 9 + 89 + 2 + 405 + 76 = 666.

It is a tau number, because it is divible by the number of its divisors (2304).

It is a super-2 number, since 2×9697989240576² (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 9697989240495 and 9697989240504.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9697989240571) 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 255 ways as a sum of consecutive naturals, for example, 11558985565 + ... + 11558986403.

It is an arithmetic number, because the mean of its divisors is an integer number (17306956800).

Almost surely, 2^{9697989240576} is an apocalyptic number.

9697989240576 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 9697989240576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19937614233600).

9697989240576 is an abundant number, since it is smaller than the sum of its proper divisors (30177239226624).

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

9697989240576 is a wasteful number, since it uses less digits than its factorization.

9697989240576 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 971 (or 951 counting only the distinct ones).

The product of its (nonzero) digits is 3703553280, while the sum is 81.

The spelling of 9697989240576 in words is "nine trillion, six hundred ninety-seven billion, nine hundred eighty-nine million, two hundred forty thousand, five hundred seventy-six".