8680314240 has 512 divisors, whose sum is σ = 35070537600. Its totient is φ = 2010120192.

The previous prime is 8680314229. The next prime is 8680314319. The reversal of 8680314240 is 424130868.

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 = 8680314195 and 8680314204.

It is a congruent number.

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 63 ways as a sum of consecutive naturals, for example, 3817744 + ... + 3820016.

Almost surely, 2^8680314240 is an apocalyptic number.

8680314240 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 8680314240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17535268800).

8680314240 is an abundant number, since it is smaller than the sum of its proper divisors (26390223360).

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

8680314240 is a wasteful number, since it uses less digits than its factorization.

8680314240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2331 (or 2313 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The square root of 8680314240 is about 93168.2040183238. The cubic root of 8680314240 is about 2055.1576841015.

The spelling of 8680314240 in words is "eight billion, six hundred eighty million, three hundred fourteen thousand, two hundred forty".