6536776356 has 96 divisors (see below), whose sum is σ = 18881372160. Its totient is φ = 1938679200.

The previous prime is 6536776333. The next prime is 6536776361.

It is a happy number.

6536776356 is a `hidden beast` number, since 6 + 536 + 7 + 76 + 35 + 6 = 666.

6536776356 is nontrivially palindromic in base 10.

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

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2700 + ... + 114371.

It is an arithmetic number, because the mean of its divisors is an integer number (196680960).

Almost surely, 2^6536776356 is an apocalyptic number.

6536776356 is a gapful number since it is divisible by the number (66) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6536776356, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9440686080).

6536776356 is an abundant number, since it is smaller than the sum of its proper divisors (12344595804).

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

6536776356 is a wasteful number, since it uses less digits than its factorization.

6536776356 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 117142 (or 117134 counting only the distinct ones).

The product of its digits is 14288400, while the sum is 54.

The square root of 6536776356 is about 80850.3330605385. Note that the first 3 decimals coincide. The cubic root of 6536776356 is about 1869.7686575509.

The spelling of 6536776356 in words is "six billion, five hundred thirty-six million, seven hundred seventy-six thousand, three hundred fifty-six".