9927360000 has 500 divisors, whose sum is σ = 37123016832. Its totient is φ = 2640384000.

The previous prime is 9927359983. The next prime is 9927360007. The reversal of 9927360000 is 637299.

It is a tau number, because it is divible by the number of its divisors (500).

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 (9927360007) by changing a digit.

It is a polite number, since it can be written in 49 ways as a sum of consecutive naturals, for example, 25919809 + ... + 25920191.

Almost surely, 2^9927360000 is an apocalyptic number.

9927360000 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 9927360000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18561508416).

9927360000 is an abundant number, since it is smaller than the sum of its proper divisors (27195656832).

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

9927360000 is an frugal number, since it uses more digits than its factorization.

9927360000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 433 (or 393 counting only the distinct ones).

The product of its (nonzero) digits is 20412, while the sum is 36.

The square root of 9927360000 is about 99636.1380223059. The cubic root of 9927360000 is about 2149.2054031422.

Adding to 9927360000 its reverse (637299), we get a palindrome (9927997299).

The spelling of 9927360000 in words is "nine billion, nine hundred twenty-seven million, three hundred sixty thousand".