6343423782240 has 48 divisors (see below), whose sum is σ = 19981784915568. Its totient is φ = 1691579675136.

The previous prime is 6343423782209. The next prime is 6343423782263. The reversal of 6343423782240 is 422873243436.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 6343423782240.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6607732627 + ... + 6607733586.

It is an arithmetic number, because the mean of its divisors is an integer number (416287185741).

Almost surely, 2^{6343423782240} is an apocalyptic number.

6343423782240 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

6343423782240 is an abundant number, since it is smaller than the sum of its proper divisors (13638361133328).

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

6343423782240 is a wasteful number, since it uses less digits than its factorization.

6343423782240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13215466231 (or 13215466223 counting only the distinct ones).

The product of its (nonzero) digits is 4644864, while the sum is 48.

The spelling of 6343423782240 in words is "six trillion, three hundred forty-three billion, four hundred twenty-three million, seven hundred eighty-two thousand, two hundred forty".