9681772800 has 648 divisors, whose sum is σ = 38226740832. Its totient is φ = 2150400000.

The previous prime is 9681772783. The next prime is 9681772811. The reversal of 9681772800 is 82771869.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 9681772800.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 38572675 + ... + 38572925.

It is an arithmetic number, because the mean of its divisors is an integer number (58991884).

Almost surely, 2^9681772800 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 9681772800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19113370416).

9681772800 is an abundant number, since it is smaller than the sum of its proper divisors (28544968032).

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

9681772800 is a wasteful number, since it uses less digits than its factorization.

9681772800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 335 (or 309 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 48.

The square root of 9681772800 is about 98395.9999186959. Note that the first 4 decimals coincide. The cubic root of 9681772800 is about 2131.3345688730.

The spelling of 9681772800 in words is "nine billion, six hundred eighty-one million, seven hundred seventy-two thousand, eight hundred".