9987753600 has 960 divisors, whose sum is σ = 41871962880. Its totient is φ = 2322432000.

The previous prime is 9987753563. The next prime is 9987753637. The reversal of 9987753600 is 63577899.

It is an interprime number because it is at equal distance from previous prime (9987753563) and next prime (9987753637).

It is a tau number, because it is divible by the number of its divisors (960).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 88387144 + ... + 88387256.

It is an arithmetic number, because the mean of its divisors is an integer number (43616628).

Almost surely, 2^9987753600 is an apocalyptic number.

9987753600 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 9987753600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20935981440).

9987753600 is an abundant number, since it is smaller than the sum of its proper divisors (31884209280).

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

9987753600 is a wasteful number, since it uses less digits than its factorization.

9987753600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 191 (or 165 counting only the distinct ones).

The product of its (nonzero) digits is 2857680, while the sum is 54.

The square root of 9987753600 is about 99938.7492417231. The cubic root of 9987753600 is about 2153.5548618102.

The spelling of 9987753600 in words is "nine billion, nine hundred eighty-seven million, seven hundred fifty-three thousand, six hundred".