9682005600 has 144 divisors (see below), whose sum is σ = 35016665040. Its totient is φ = 2581862400.

The previous prime is 9682005587. The next prime is 9682005601. The reversal of 9682005600 is 65002869.

9682005600 is a `hidden beast` number, since 96 + 8 + 2 + 0 + 0 + 560 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9682005601) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 202521 + ... + 245720.

It is an arithmetic number, because the mean of its divisors is an integer number (243171285).

Almost surely, 2^9682005600 is an apocalyptic number.

9682005600 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

9682005600 is an abundant number, since it is smaller than the sum of its proper divisors (25334659440).

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

9682005600 is a wasteful number, since it uses less digits than its factorization.

9682005600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 448270 (or 448251 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 9682005600 is about 98397.1828865034. The cubic root of 9682005600 is about 2131.3516515128.

The spelling of 9682005600 in words is "nine billion, six hundred eighty-two million, five thousand, six hundred".