6742434816 has 440 divisors, whose sum is σ = 22400812280. Its totient is φ = 2018525184.

The previous prime is 6742434793. The next prime is 6742434823. The reversal of 6742434816 is 6184342476.

It can be written as a sum of positive squares in 4 ways, for example, as 829440000 + 5912994816 = 28800^2 + 76896^2 .

Its product of digits (774144) is a multiple of the sum of its prime factors (108).

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 39 ways as a sum of consecutive naturals, for example, 182227950 + ... + 182227986.

It is an arithmetic number, because the mean of its divisors is an integer number (50910937).

Almost surely, 2^6742434816 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 6742434816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11200406140).

6742434816 is an abundant number, since it is smaller than the sum of its proper divisors (15658377464).

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

6742434816 is an equidigital number, since it uses as much as digits as its factorization.

6742434816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 108 (or 55 counting only the distinct ones).

The product of its digits is 774144, while the sum is 45.

The square root of 6742434816 is about 82112.3304747831. The cubic root of 6742434816 is about 1889.1752713115.

The spelling of 6742434816 in words is "six billion, seven hundred forty-two million, four hundred thirty-four thousand, eight hundred sixteen".