9661497808320 has 336 divisors, whose sum is σ = 34947728944128. Its totient is φ = 2540110648320.

The previous prime is 9661497808283. The next prime is 9661497808327. The reversal of 9661497808320 is 238087941669.

9661497808320 is a `hidden beast` number, since 9 + 6 + 61 + 497 + 8 + 0 + 83 + 2 + 0 = 666.

It is a super-2 number, since 2×9661497808320² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9661497808327) 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 47 ways as a sum of consecutive naturals, for example, 4645977 + ... + 6395943.

It is an arithmetic number, because the mean of its divisors is an integer number (104011098048).

Almost surely, 2^{9661497808320} is an apocalyptic number.

9661497808320 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 9661497808320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17473864472064).

9661497808320 is an abundant number, since it is smaller than the sum of its proper divisors (25286231135808).

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

9661497808320 is a wasteful number, since it uses less digits than its factorization.

9661497808320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1750070 (or 1750048 counting only the distinct ones).

The product of its (nonzero) digits is 31352832, while the sum is 63.

The spelling of 9661497808320 in words is "nine trillion, six hundred sixty-one billion, four hundred ninety-seven million, eight hundred eight thousand, three hundred twenty".