8716116240 has 960 divisors, whose sum is σ = 37235116800. Its totient is φ = 1851310080.

The previous prime is 8716116239. The next prime is 8716116407. The reversal of 8716116240 is 426116178.

It is a happy number.

8716116240 is a `hidden beast` number, since 8 + 7 + 16 + 11 + 624 + 0 = 666.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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 = 8716116195 and 8716116204.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 281165025 + ... + 281165055.

It is an arithmetic number, because the mean of its divisors is an integer number (38786580).

Almost surely, 2^8716116240 is an apocalyptic number.

8716116240 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 8716116240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18617558400).

8716116240 is an abundant number, since it is smaller than the sum of its proper divisors (28519000560).

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

8716116240 is a wasteful number, since it uses less digits than its factorization.

8716116240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 133 (or 90 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 36.

The square root of 8716116240 is about 93360.1426734128. The cubic root of 8716116240 is about 2057.9793111334.

The spelling of 8716116240 in words is "eight billion, seven hundred sixteen million, one hundred sixteen thousand, two hundred forty".