6027011840736 has 192 divisors, whose sum is σ = 18025100674560. Its totient is φ = 1958614732800.

The previous prime is 6027011840713. The next prime is 6027011840737. The reversal of 6027011840736 is 6370481107206.

6027011840736 is a `hidden beast` number, since 60 + 2 + 70 + 118 + 407 + 3 + 6 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 6027011840691 and 6027011840700.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6027011840737) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 5078461 + ... + 6151811.

It is an arithmetic number, because the mean of its divisors is an integer number (93880732680).

Almost surely, 2^{6027011840736} 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 6027011840736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9012550337280).

6027011840736 is an abundant number, since it is smaller than the sum of its proper divisors (11998088833824).

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

6027011840736 is a wasteful number, since it uses less digits than its factorization.

6027011840736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1073534 (or 1073520 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 45.

The spelling of 6027011840736 in words is "six trillion, twenty-seven billion, eleven million, eight hundred forty thousand, seven hundred thirty-six".