9864993600 has 1512 divisors, whose sum is σ = 47050488576. Its totient is φ = 1935360000.

The previous prime is 9864993599. The next prime is 9864993601. The reversal of 9864993600 is 63994689.

It is a happy number.

9864993600 is a `hidden beast` number, since 98 + 6 + 499 + 3 + 60 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (9864993599) and next prime (9864993601).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9864993601) by changing a digit.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 240609580 + ... + 240609620.

It is an arithmetic number, because the mean of its divisors is an integer number (31118048).

Almost surely, 2^9864993600 is an apocalyptic number.

9864993600 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 9864993600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23525244288).

9864993600 is an abundant number, since it is smaller than the sum of its proper divisors (37185494976).

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

9864993600 is a wasteful number, since it uses less digits than its factorization.

9864993600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 125 (or 100 counting only the distinct ones).

The product of its (nonzero) digits is 2519424, while the sum is 54.

The square root of 9864993600 is about 99322.6741484541. The cubic root of 9864993600 is about 2144.6953126487.

It can be divided in two parts, 986499 and 3600, that added together give a palindrome (990099).

The spelling of 9864993600 in words is "nine billion, eight hundred sixty-four million, nine hundred ninety-three thousand, six hundred".