6736482144 has 144 divisors (see below), whose sum is σ = 22845618432. Its totient is φ = 1841013504.

The previous prime is 6736482127. The next prime is 6736482157. The reversal of 6736482144 is 4412846376.

It is a tau number, because it is divible by the number of its divisors (144).

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 6736482144.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 26274 + ... + 119009.

It is an arithmetic number, because the mean of its divisors is an integer number (158650128).

Almost surely, 2^6736482144 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 6736482144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11422809216).

6736482144 is an abundant number, since it is smaller than the sum of its proper divisors (16109136288).

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

6736482144 is a wasteful number, since it uses less digits than its factorization.

6736482144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 145329 (or 145318 counting only the distinct ones).

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

The square root of 6736482144 is about 82076.0753447678. The cubic root of 6736482144 is about 1888.6191442278.

The spelling of 6736482144 in words is "six billion, seven hundred thirty-six million, four hundred eighty-two thousand, one hundred forty-four".