6317342240000 has 270 divisors, whose sum is σ = 17320242099930. Its totient is φ = 2297208320000.

The previous prime is 6317342239997. The next prime is 6317342240021. The reversal of 6317342240000 is 422437136.

It can be written as a sum of positive squares in 5 ways, for example, as 4605934068736 + 1711408171264 = 2146144^2 + 1308208^2 .

It is a hoax number, since the sum of its digits (32) 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 (32).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 19196846 + ... + 19523154.

Almost surely, 2^{6317342240000} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6317342240000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8660121049965).

6317342240000 is an abundant number, since it is smaller than the sum of its proper divisors (11002899859930).

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

6317342240000 is an equidigital number, since it uses as much as digits as its factorization.

6317342240000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 326367 (or 326327 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 32.

Adding to 6317342240000 its reverse (422437136), we get a palindrome (6317764677136).

The spelling of 6317342240000 in words is "six trillion, three hundred seventeen billion, three hundred forty-two million, two hundred forty thousand".