6731080416144 has 360 divisors, whose sum is σ = 23716717880128. Its totient is φ = 1810036316160.

The previous prime is 6731080416131. The next prime is 6731080416149. The reversal of 6731080416144 is 4416140801376.

6731080416144 is a `hidden beast` number, since 6 + 7 + 3 + 10 + 80 + 416 + 144 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 6731080416144.

It is not an unprimeable number, because it can be changed into a prime (6731080416149) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 7437534 + ... + 8293314.

Almost surely, 2^{6731080416144} 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 6731080416144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11858358940064).

6731080416144 is an abundant number, since it is smaller than the sum of its proper divisors (16985637463984).

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

6731080416144 is a wasteful number, since it uses less digits than its factorization.

6731080416144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 855845 (or 855810 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

The spelling of 6731080416144 in words is "six trillion, seven hundred thirty-one billion, eighty million, four hundred sixteen thousand, one hundred forty-four".