6536137428288 has 336 divisors, whose sum is σ = 20855197848576. Its totient is φ = 1943573667840.

The previous prime is 6536137428287. The next prime is 6536137428343. The reversal of 6536137428288 is 8828247316356.

6536137428288 is a `hidden beast` number, since 6 + 5 + 3 + 613 + 7 + 4 + 2 + 8 + 2 + 8 + 8 = 666.

It is a super-2 number, since 2×6536137428288² (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6536137428287) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 172452156 + ... + 172490052.

It is an arithmetic number, because the mean of its divisors is an integer number (62069041216).

Almost surely, 2^{6536137428288} 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 6536137428288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10427598924288).

6536137428288 is an abundant number, since it is smaller than the sum of its proper divisors (14319060420288).

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

6536137428288 is a wasteful number, since it uses less digits than its factorization.

6536137428288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38702 (or 38689 counting only the distinct ones).

The product of its digits is 92897280, while the sum is 63.

The spelling of 6536137428288 in words is "six trillion, five hundred thirty-six billion, one hundred thirty-seven million, four hundred twenty-eight thousand, two hundred eighty-eight".