8326272240 has 960 divisors, whose sum is σ = 35799708672. Its totient is φ = 1703116800.

The previous prime is 8326272211. The next prime is 8326272259. The reversal of 8326272240 is 422726238.

It is a happy number.

8326272240 is a `hidden beast` number, since 8 + 3 + 2 + 627 + 2 + 24 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 8326272195 and 8326272204.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 117271405 + ... + 117271475.

Almost surely, 2^8326272240 is an apocalyptic number.

8326272240 is a gapful number since it is divisible by the number (80) 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 8326272240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17899854336).

8326272240 is an abundant number, since it is smaller than the sum of its proper divisors (27473436432).

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

8326272240 is a wasteful number, since it uses less digits than its factorization.

8326272240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 198 (or 189 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 36.

The square root of 8326272240 is about 91248.4095203856. The cubic root of 8326272240 is about 2026.8278767673.

Adding to 8326272240 its reverse (422726238), we get a palindrome (8748998478).

The spelling of 8326272240 in words is "eight billion, three hundred twenty-six million, two hundred seventy-two thousand, two hundred forty".