9927740160 has 576 divisors, whose sum is σ = 39970828800. Its totient is φ = 2313142272.

The previous prime is 9927740159. The next prime is 9927740177. The reversal of 9927740160 is 610477299.

It is a tau number, because it is divible by the number of its divisors (576).

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

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 8535739 + ... + 8536901.

It is an arithmetic number, because the mean of its divisors is an integer number (69393800).

Almost surely, 2^9927740160 is an apocalyptic number.

9927740160 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 9927740160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19985414400).

9927740160 is an abundant number, since it is smaller than the sum of its proper divisors (30043088640).

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

9927740160 is a wasteful number, since it uses less digits than its factorization.

9927740160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1225 (or 1205 counting only the distinct ones).

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

The square root of 9927740160 is about 99638.0457455886. The cubic root of 9927740160 is about 2149.2328368035.

The spelling of 9927740160 in words is "nine billion, nine hundred twenty-seven million, seven hundred forty thousand, one hundred sixty".