6005871673344 has 153 divisors (see below), whose sum is σ = 17355602495179. Its totient is φ = 2001329848320.

The previous prime is 6005871673313. The next prime is 6005871673363. The reversal of 6005871673344 is 4433761785006.

It is a happy number.

The square root of 6005871673344 is 2450688.

It is a perfect power (a square), and thus also a powerful number.

6005871673344 is a `hidden beast` number, since 6 + 0 + 0 + 587 + 16 + 7 + 3 + 3 + 44 = 666.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 1882126789 + ... + 1882129979.

Almost surely, 2^{6005871673344} is an apocalyptic number.

6005871673344 is a gapful number since it is divisible by the number (64) formed by its first and last digit.

6005871673344 is the 2450688-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6005871673344

6005871673344 is an abundant number, since it is smaller than the sum of its proper divisors (11349730821835).

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

6005871673344 is an frugal number, since it uses more digits than its factorization.

6005871673344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6420 (or 3196 counting only the distinct ones).

The product of its (nonzero) digits is 10160640, while the sum is 54.

The spelling of 6005871673344 in words is "six trillion, five billion, eight hundred seventy-one million, six hundred seventy-three thousand, three hundred forty-four".