6741044541504 has 448 divisors, whose sum is σ = 25231748774400. Its totient is φ = 1716551294976.

The previous prime is 6741044541479. The next prime is 6741044541509. The reversal of 6741044541504 is 4051454401476.

6741044541504 is a `hidden beast` number, since 6 + 7 + 4 + 10 + 44 + 541 + 50 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (448).

It is a self number, because there is not a number n which added to its sum of digits gives 6741044541504.

It is not an unprimeable number, because it can be changed into a prime (6741044541509) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3821074 + ... + 5299310.

It is an arithmetic number, because the mean of its divisors is an integer number (56320867800).

Almost surely, 2^{6741044541504} is an apocalyptic number.

6741044541504 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 6741044541504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12615874387200).

6741044541504 is an abundant number, since it is smaller than the sum of its proper divisors (18490704232896).

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

6741044541504 is a wasteful number, since it uses less digits than its factorization.

6741044541504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1478307 (or 1478291 counting only the distinct ones).

The product of its (nonzero) digits is 1075200, while the sum is 45.

The spelling of 6741044541504 in words is "six trillion, seven hundred forty-one billion, forty-four million, five hundred forty-one thousand, five hundred four".