6820536231936 has 576 divisors, whose sum is σ = 22931409795840. Its totient is φ = 1912657674240.

The previous prime is 6820536231919. The next prime is 6820536231937. The reversal of 6820536231936 is 6391326350286.

6820536231936 is a `hidden beast` number, since 6 + 8 + 2 + 0 + 5 + 3 + 623 + 1 + 9 + 3 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is not an unprimeable number, because it can be changed into a prime (6820536231937) 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, 6981101080 + ... + 6981102056.

It is an arithmetic number, because the mean of its divisors is an integer number (39811475340).

Almost surely, 2^{6820536231936} 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 6820536231936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11465704897920).

6820536231936 is an abundant number, since it is smaller than the sum of its proper divisors (16110873563904).

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

6820536231936 is a wasteful number, since it uses less digits than its factorization.

6820536231936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1960 (or 1937 counting only the distinct ones).

The product of its (nonzero) digits is 8398080, while the sum is 54.

The spelling of 6820536231936 in words is "six trillion, eight hundred twenty billion, five hundred thirty-six million, two hundred thirty-one thousand, nine hundred thirty-six".