6163964072448 has 960 divisors, whose sum is σ = 20962615449600. Its totient is φ = 1607978631168.

The previous prime is 6163964072429. The next prime is 6163964072489. The reversal of 6163964072448 is 8442704693616.

It is a junction number, because it is equal to n+sod(n) for n = 6163964072391 and 6163964072400.

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 95 ways as a sum of consecutive naturals, for example, 9526992061 + ... + 9526992707.

It is an arithmetic number, because the mean of its divisors is an integer number (21836057760).

Almost surely, 2^{6163964072448} 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 6163964072448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10481307724800).

6163964072448 is an abundant number, since it is smaller than the sum of its proper divisors (14798651377152).

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

6163964072448 is a wasteful number, since it uses less digits than its factorization.

6163964072448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 822 (or 779 counting only the distinct ones).

The product of its (nonzero) digits is 41803776, while the sum is 60.

The spelling of 6163964072448 in words is "six trillion, one hundred sixty-three billion, nine hundred sixty-four million, seventy-two thousand, four hundred forty-eight".