6835365216 has 144 divisors (see below), whose sum is σ = 21351133440. Its totient is φ = 2064648960.

The previous prime is 6835365209. The next prime is 6835365233. The reversal of 6835365216 is 6125635386.

6835365216 is a `hidden beast` number, since 68 + 3 + 536 + 52 + 1 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×6835365216² = 93444435272205453312, which contains 22 as substring.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 98701 + ... + 153011.

It is an arithmetic number, because the mean of its divisors is an integer number (148271760).

Almost surely, 2^6835365216 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 6835365216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10675566720).

6835365216 is an abundant number, since it is smaller than the sum of its proper divisors (14515768224).

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

6835365216 is a wasteful number, since it uses less digits than its factorization.

6835365216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54369 (or 54358 counting only the distinct ones).

The product of its digits is 777600, while the sum is 45.

The square root of 6835365216 is about 82676.2675500049. The cubic root of 6835365216 is about 1897.8151446861.

The spelling of 6835365216 in words is "six billion, eight hundred thirty-five million, three hundred sixty-five thousand, two hundred sixteen".