9661704651648 has 1024 divisors, whose sum is σ = 35612524800000. Its totient is φ = 2568436383744.

The previous prime is 9661704651623. The next prime is 9661704651661. The reversal of 9661704651648 is 8461564071669.

It is a happy number.

9661704651648 is a `hidden beast` number, since 9 + 6 + 6 + 1 + 7 + 0 + 465 + 164 + 8 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1793519611 + ... + 1793524997.

It is an arithmetic number, because the mean of its divisors is an integer number (34777856250).

Almost surely, 2^{9661704651648} is an apocalyptic number.

9661704651648 is a gapful number since it is divisible by the number (98) 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 9661704651648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17806262400000).

9661704651648 is an abundant number, since it is smaller than the sum of its proper divisors (25950820148352).

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

9661704651648 is a wasteful number, since it uses less digits than its factorization.

9661704651648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5537 (or 5505 counting only the distinct ones).

The product of its (nonzero) digits is 52254720, while the sum is 63.

The spelling of 9661704651648 in words is "nine trillion, six hundred sixty-one billion, seven hundred four million, six hundred fifty-one thousand, six hundred forty-eight".