6538233655296 has 1560 divisors, whose sum is σ = 23862781324800. Its totient is φ = 1776827695104.

The previous prime is 6538233655273. The next prime is 6538233655297. The reversal of 6538233655296 is 6925563328356.

6538233655296 is a `hidden beast` number, since 6 + 5 + 3 + 8 + 2 + 336 + 5 + 5 + 296 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (6538233655297) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 32855445405 + ... + 32855445603.

Almost surely, 2^{6538233655296} 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 6538233655296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11931390662400).

6538233655296 is an abundant number, since it is smaller than the sum of its proper divisors (17324547669504).

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

6538233655296 is a wasteful number, since it uses less digits than its factorization.

6538233655296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 339 (or 301 counting only the distinct ones).

The product of its digits is 209952000, while the sum is 63.

The spelling of 6538233655296 in words is "six trillion, five hundred thirty-eight billion, two hundred thirty-three million, six hundred fifty-five thousand, two hundred ninety-six".