9915726240 has 576 divisors, whose sum is σ = 40782268800. Its totient is φ = 2243469312.

The previous prime is 9915726209. The next prime is 9915726241. The reversal of 9915726240 is 426275199.

9915726240 is a `hidden beast` number, since 9 + 9 + 15 + 7 + 2 + 624 + 0 = 666.

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 (9915726241) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 29423352 + ... + 29423688.

It is an arithmetic number, because the mean of its divisors is an integer number (70802550).

Almost surely, 2^9915726240 is an apocalyptic number.

9915726240 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 9915726240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20391134400).

9915726240 is an abundant number, since it is smaller than the sum of its proper divisors (30866542560).

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

9915726240 is a wasteful number, since it uses less digits than its factorization.

9915726240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 514 (or 493 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 45.

The square root of 9915726240 is about 99577.7396811155. The cubic root of 9915726240 is about 2148.3655318754.

The spelling of 9915726240 in words is "nine billion, nine hundred fifteen million, seven hundred twenty-six thousand, two hundred forty".