6738535784448 has 1568 divisors, whose sum is σ = 23374584177840. Its totient is φ = 1926317998080.

The previous prime is 6738535784447. The next prime is 6738535784467. The reversal of 6738535784448 is 8444875358376.

6738535784448 is a `hidden beast` number, since 6 + 7 + 3 + 8 + 5 + 3 + 578 + 4 + 4 + 48 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 810518482944 + 5928017301504 = 900288^2 + 2434752^2 .

It is a Harshad number since it is a multiple of its sum of digits (72).

Its product of digits (2167603200) is a multiple of the sum of its prime factors (200).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6738535784443) by changing a digit.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 92308709340 + ... + 92308709412.

Almost surely, 2^{6738535784448} 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 6738535784448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11687292088920).

6738535784448 is an abundant number, since it is smaller than the sum of its proper divisors (16636048393392).

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

6738535784448 is an equidigital number, since it uses as much as digits as its factorization.

6738535784448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 200 (or 161 counting only the distinct ones).

The product of its digits is 2167603200, while the sum is 72.

The spelling of 6738535784448 in words is "six trillion, seven hundred thirty-eight billion, five hundred thirty-five million, seven hundred eighty-four thousand, four hundred forty-eight".