9927930240 has 512 divisors, whose sum is σ = 36674467200. Its totient is φ = 2567946240.

The previous prime is 9927930193. The next prime is 9927930241. The reversal of 9927930240 is 420397299.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9927930241) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 57386794 + ... + 57386966.

Almost surely, 2^9927930240 is an apocalyptic number.

9927930240 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 9927930240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18337233600).

9927930240 is an abundant number, since it is smaller than the sum of its proper divisors (26746536960).

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

9927930240 is an equidigital number, since it uses as much as digits as its factorization.

9927930240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 254 (or 224 counting only the distinct ones).

The product of its (nonzero) digits is 244944, while the sum is 45.

The square root of 9927930240 is about 99638.9995935327. Note that the first 3 decimals coincide. The cubic root of 9927930240 is about 2149.2465533715.

The spelling of 9927930240 in words is "nine billion, nine hundred twenty-seven million, nine hundred thirty thousand, two hundred forty".