6853531336704 has 680 divisors, whose sum is σ = 23215903689440. Its totient is φ = 1997408305152.

The previous prime is 6853531336693. The next prime is 6853531336709. The reversal of 6853531336704 is 4076331353586.

6853531336704 is a `hidden beast` number, since 6 + 8 + 5 + 3 + 531 + 3 + 36 + 70 + 4 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6853531336709) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1311176139 + ... + 1311181365.

Almost surely, 2^{6853531336704} is an apocalyptic number.

6853531336704 is a gapful number since it is divisible by the number (64) 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 6853531336704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11607951844720).

6853531336704 is an abundant number, since it is smaller than the sum of its proper divisors (16362372352736).

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

6853531336704 is an equidigital number, since it uses as much as digits as its factorization.

6853531336704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5303 (or 5264 counting only the distinct ones).

The product of its (nonzero) digits is 16329600, while the sum is 54.

The spelling of 6853531336704 in words is "six trillion, eight hundred fifty-three billion, five hundred thirty-one million, three hundred thirty-six thousand, seven hundred four".