9996577500672 has 960 divisors, whose sum is σ = 35224173008640. Its totient is φ = 2790067617792.

The previous prime is 9996577500647. The next prime is 9996577500703. The reversal of 9996577500672 is 2760057756999.

9996577500672 is a `hidden beast` number, since 9 + 9 + 9 + 6 + 57 + 7 + 500 + 67 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a self number, because there is not a number n which added to its sum of digits gives 9996577500672.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 11021584443 + ... + 11021585349.

It is an arithmetic number, because the mean of its divisors is an integer number (36691846884).

Almost surely, 2^{9996577500672} 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 9996577500672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17612086504320).

9996577500672 is an abundant number, since it is smaller than the sum of its proper divisors (25227595507968).

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

9996577500672 is a wasteful number, since it uses less digits than its factorization.

9996577500672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1308 (or 1279 counting only the distinct ones).

The product of its (nonzero) digits is 450084600, while the sum is 72.

The spelling of 9996577500672 in words is "nine trillion, nine hundred ninety-six billion, five hundred seventy-seven million, five hundred thousand, six hundred seventy-two".