6741616137984 has 1296 divisors, whose sum is σ = 25675627592160. Its totient is φ = 1748233912320.

The previous prime is 6741616137983. The next prime is 6741616138021. The reversal of 6741616137984 is 4897316161476.

6741616137984 is a `hidden beast` number, since 6 + 7 + 4 + 1 + 6 + 1 + 613 + 7 + 9 + 8 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (1296).

It is a Harshad number since it is a multiple of its sum of digits (63).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6741616137983) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 2417214862 + ... + 2417217650.

Almost surely, 2^{6741616137984} is an apocalyptic number.

6741616137984 is a gapful number since it is divisible by the number (64) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6741616137984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12837813796080).

6741616137984 is an abundant number, since it is smaller than the sum of its proper divisors (18934011454176).

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

6741616137984 is a wasteful number, since it uses less digits than its factorization.

6741616137984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2908 (or 2875 counting only the distinct ones).

The product of its digits is 36578304, while the sum is 63.

The spelling of 6741616137984 in words is "six trillion, seven hundred forty-one billion, six hundred sixteen million, one hundred thirty-seven thousand, nine hundred eighty-four".