9964357948608 has 896 divisors, whose sum is σ = 34786487500800. Its totient is φ = 2451791462400.

The previous prime is 9964357948607. The next prime is 9964357948679. The reversal of 9964357948608 is 8068497534699.

It is not an unprimeable number, because it can be changed into a prime (9964357948607) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 849398103 + ... + 849409833.

It is an arithmetic number, because the mean of its divisors is an integer number (38824204800).

Almost surely, 2^{9964357948608} 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 9964357948608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17393243750400).

9964357948608 is an abundant number, since it is smaller than the sum of its proper divisors (24822129552192).

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

9964357948608 is a wasteful number, since it uses less digits than its factorization.

9964357948608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11869 (or 11859 counting only the distinct ones).

The product of its (nonzero) digits is 2821754880, while the sum is 78.

The spelling of 9964357948608 in words is "nine trillion, nine hundred sixty-four billion, three hundred fifty-seven million, nine hundred forty-eight thousand, six hundred eight".