6533864691552 has 1152 divisors, whose sum is σ = 23067375851520. Its totient is φ = 1796795965440.

The previous prime is 6533864691511. The next prime is 6533864691559. The reversal of 6533864691552 is 2551964683356.

It is a happy number.

6533864691552 is a `hidden beast` number, since 6 + 5 + 3 + 38 + 6 + 46 + 9 + 1 + 552 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 6533864691552.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6533864691559) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 5189725099 + ... + 5189726357.

It is an arithmetic number, because the mean of its divisors is an integer number (20023763760).

Almost surely, 2^{6533864691552} 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 6533864691552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11533687925760).

6533864691552 is an abundant number, since it is smaller than the sum of its proper divisors (16533511159968).

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

6533864691552 is a wasteful number, since it uses less digits than its factorization.

6533864691552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1438 (or 1418 counting only the distinct ones).

The product of its digits is 139968000, while the sum is 63.

The spelling of 6533864691552 in words is "six trillion, five hundred thirty-three billion, eight hundred sixty-four million, six hundred ninety-one thousand, five hundred fifty-two".