6835864680 has 96 divisors (see below), whose sum is σ = 22247971200. Its totient is φ = 1820320128.

The previous prime is 6835864657. The next prime is 6835864681. The reversal of 6835864680 is 864685386.

It is not an unprimeable number, because it can be changed into a prime (6835864681) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 248661 + ... + 274779.

It is an arithmetic number, because the mean of its divisors is an integer number (231749700).

Almost surely, 2^6835864680 is an apocalyptic number.

6835864680 is a gapful number since it is divisible by the number (60) 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 6835864680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11123985600).

6835864680 is an abundant number, since it is smaller than the sum of its proper divisors (15412106520).

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

6835864680 is a wasteful number, since it uses less digits than its factorization.

6835864680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26863 (or 26856 counting only the distinct ones).

The product of its (nonzero) digits is 6635520, while the sum is 54.

The square root of 6835864680 is about 82679.2880956289. The cubic root of 6835864680 is about 1897.8613683688.

The spelling of 6835864680 in words is "six billion, eight hundred thirty-five million, eight hundred sixty-four thousand, six hundred eighty".