9864009600 has 384 divisors, whose sum is σ = 35060256000. Its totient is φ = 2429337600.

The previous prime is 9864009527. The next prime is 9864009607. The reversal of 9864009600 is 69004689.

It is a tau number, because it is divible by the number of its divisors (384).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9864009607) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7477741 + ... + 7479059.

It is an arithmetic number, because the mean of its divisors is an integer number (91302750).

Almost surely, 2^9864009600 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 9864009600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17530128000).

9864009600 is an abundant number, since it is smaller than the sum of its proper divisors (25196246400).

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

9864009600 is a wasteful number, since it uses less digits than its factorization.

9864009600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1406 (or 1389 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 42.

The square root of 9864009600 is about 99317.7204732368. The cubic root of 9864009600 is about 2144.6240015581.

The spelling of 9864009600 in words is "nine billion, eight hundred sixty-four million, nine thousand, six hundred".