9685008000 has 768 divisors, whose sum is σ = 37531952640. Its totient is φ = 2480025600.

The previous prime is 9685007999. The next prime is 9685008019. The reversal of 9685008000 is 8005869.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 182735974 + ... + 182736026.

It is an arithmetic number, because the mean of its divisors is an integer number (48869730).

Almost surely, 2^9685008000 is an apocalyptic number.

9685008000 is a gapful number since it is divisible by the number (90) 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 9685008000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18765976320).

9685008000 is an abundant number, since it is smaller than the sum of its proper divisors (27846944640).

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

9685008000 is an equidigital number, since it uses as much as digits as its factorization.

9685008000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 144 (or 110 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 36.

The square root of 9685008000 is about 98412.4382382634. The cubic root of 9685008000 is about 2131.5719401979.

The spelling of 9685008000 in words is "nine billion, six hundred eighty-five million, eight thousand".