9681627600 has 120 divisors (see below), whose sum is σ = 34459461120. Its totient is φ = 2581764480.

The previous prime is 9681627569. The next prime is 9681627617. The reversal of 9681627600 is 67261869.

9681627600 is a `hidden beast` number, since 9 + 6 + 8 + 16 + 27 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 437424 + ... + 459023.

It is an arithmetic number, because the mean of its divisors is an integer number (287162176).

Almost surely, 2^9681627600 is an apocalyptic number.

9681627600 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

9681627600 is an abundant number, since it is smaller than the sum of its proper divisors (24777833520).

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

9681627600 is a wasteful number, since it uses less digits than its factorization.

9681627600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 896474 (or 896457 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The square root of 9681627600 is about 98395.2620810575. The cubic root of 9681627600 is about 2131.3239140982.

The spelling of 9681627600 in words is "nine billion, six hundred eighty-one million, six hundred twenty-seven thousand, six hundred".