9826368240 has 160 divisors (see below), whose sum is σ = 33691968576. Its totient is φ = 2353397760.

The previous prime is 9826368239. The next prime is 9826368289. The reversal of 9826368240 is 428636289.

9826368240 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 9826368240.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 72880 + ... + 158000.

Almost surely, 2^9826368240 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9826368240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16845984288).

9826368240 is an abundant number, since it is smaller than the sum of its proper divisors (23865600336).

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

9826368240 is a wasteful number, since it uses less digits than its factorization.

9826368240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 85187 (or 85181 counting only the distinct ones).

The product of its (nonzero) digits is 995328, while the sum is 48.

The square root of 9826368240 is about 99128.0396255267. The cubic root of 9826368240 is about 2141.8925407343.

The spelling of 9826368240 in words is "nine billion, eight hundred twenty-six million, three hundred sixty-eight thousand, two hundred forty".