8340641280 has 800 divisors, whose sum is σ = 32975791200. Its totient is φ = 2006581248.

The previous prime is 8340641279. The next prime is 8340641293. The reversal of 8340641280 is 821460438.

8340641280 is a `hidden beast` number, since 8 + 3 + 4 + 0 + 641 + 2 + 8 + 0 = 666.

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

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 79 ways as a sum of consecutive naturals, for example, 114255324 + ... + 114255396.

It is an arithmetic number, because the mean of its divisors is an integer number (41219739).

Almost surely, 2^8340641280 is an apocalyptic number.

8340641280 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 8340641280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16487895600).

8340641280 is an abundant number, since it is smaller than the sum of its proper divisors (24635149920).

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

8340641280 is a wasteful number, since it uses less digits than its factorization.

8340641280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 156 (or 131 counting only the distinct ones).

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

The square root of 8340641280 is about 91327.1114182421. Note that the first 3 decimals coincide. The cubic root of 8340641280 is about 2027.9931374720.

The spelling of 8340641280 in words is "eight billion, three hundred forty million, six hundred forty-one thousand, two hundred eighty".