6027845049072 has 1440 divisors, whose sum is σ = 22968679132672. Its totient is φ = 1496537856000.

The previous prime is 6027845048999. The next prime is 6027845049137. The reversal of 6027845049072 is 2709405487206.

6027845049072 is a `hidden beast` number, since 6 + 0 + 2 + 7 + 84 + 5 + 0 + 490 + 72 = 666.

It is a super-2 number, since 2×6027845049072² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

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 287 ways as a sum of consecutive naturals, for example, 7432607547 + ... + 7432608357.

Almost surely, 2^{6027845049072} 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 6027845049072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11484339566336).

6027845049072 is an abundant number, since it is smaller than the sum of its proper divisors (16940834083600).

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

6027845049072 is a wasteful number, since it uses less digits than its factorization.

6027845049072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 961 (or 932 counting only the distinct ones).

The product of its (nonzero) digits is 6773760, while the sum is 54.

The spelling of 6027845049072 in words is "six trillion, twenty-seven billion, eight hundred forty-five million, forty-nine thousand, seventy-two".