8340187680 has 288 divisors, whose sum is σ = 32199830208. Its totient is φ = 2021760000.

The previous prime is 8340187657. The next prime is 8340187747. The reversal of 8340187680 is 867810438.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 417930 + ... + 437430.

It is an arithmetic number, because the mean of its divisors is an integer number (111804966).

Almost surely, 2^8340187680 is an apocalyptic number.

8340187680 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 8340187680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16099915104).

8340187680 is an abundant number, since it is smaller than the sum of its proper divisors (23859642528).

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

8340187680 is a wasteful number, since it uses less digits than its factorization.

8340187680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19542 (or 19522 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 45.

The square root of 8340187680 is about 91324.6280036223. The cubic root of 8340187680 is about 2027.9563731380.

The spelling of 8340187680 in words is "eight billion, three hundred forty million, one hundred eighty-seven thousand, six hundred eighty".