6427341360 has 320 divisors, whose sum is σ = 24319157760. Its totient is φ = 1547320320.

The previous prime is 6427341353. The next prime is 6427341367. The reversal of 6427341360 is 631437246.

It is a happy number.

6427341360 is a `hidden beast` number, since 642 + 7 + 3 + 4 + 1 + 3 + 6 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (6427341353) and next prime (6427341367).

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

It is not an unprimeable number, because it can be changed into a prime (6427341367) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3729459 + ... + 3731181.

It is an arithmetic number, because the mean of its divisors is an integer number (75997368).

Almost surely, 2^6427341360 is an apocalyptic number.

6427341360 is a gapful number since it is divisible by the number (60) 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 6427341360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12159578880).

6427341360 is an abundant number, since it is smaller than the sum of its proper divisors (17891816400).

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

6427341360 is a wasteful number, since it uses less digits than its factorization.

6427341360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1913 (or 1901 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 36.

The square root of 6427341360 is about 80170.7013814897. The cubic root of 6427341360 is about 1859.2756805118.

The spelling of 6427341360 in words is "six billion, four hundred twenty-seven million, three hundred forty-one thousand, three hundred sixty".