9987073200 has 600 divisors, whose sum is σ = 39109486416. Its totient is φ = 2426112000.

The previous prime is 9987073177. The next prime is 9987073207. The reversal of 9987073200 is 23707899.

It is a tau number, because it is divible by the number of its divisors (600).

It is a super-2 number, since 2×9987073200² (a number of 21 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (9987073207) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 55177110 + ... + 55177290.

Almost surely, 2^9987073200 is an apocalyptic number.

9987073200 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 9987073200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19554743208).

9987073200 is an abundant number, since it is smaller than the sum of its proper divisors (29122413216).

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

9987073200 is a wasteful number, since it uses less digits than its factorization.

9987073200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 355 (or 335 counting only the distinct ones).

The product of its (nonzero) digits is 190512, while the sum is 45.

The square root of 9987073200 is about 99935.3450987187. The cubic root of 9987073200 is about 2153.5059581875.

The spelling of 9987073200 in words is "nine billion, nine hundred eighty-seven million, seventy-three thousand, two hundred".