6005504727456 has 384 divisors, whose sum is σ = 18334289627136. Its totient is φ = 1704532377600.

The previous prime is 6005504727437. The next prime is 6005504727527. The reversal of 6005504727456 is 6547274055006.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a junction number, because it is equal to n+sod(n) for n = 6005504727399 and 6005504727408.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1350459825 + ... + 1350464271.

It is an arithmetic number, because the mean of its divisors is an integer number (47745545904).

Almost surely, 2^{6005504727456} 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 6005504727456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9167144813568).

6005504727456 is an abundant number, since it is smaller than the sum of its proper divisors (12328784899680).

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

6005504727456 is a wasteful number, since it uses less digits than its factorization.

6005504727456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5744 (or 5736 counting only the distinct ones).

The product of its (nonzero) digits is 7056000, while the sum is 51.

The spelling of 6005504727456 in words is "six trillion, five billion, five hundred four million, seven hundred twenty-seven thousand, four hundred fifty-six".