6835860864 has 320 divisors, whose sum is σ = 23459673600. Its totient is φ = 1935498240.

The previous prime is 6835860841. The next prime is 6835860877. The reversal of 6835860864 is 4680685386.

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

It is a self number, because there is not a number n which added to its sum of digits gives 6835860864.

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 39 ways as a sum of consecutive naturals, for example, 9507097 + ... + 9507815.

It is an arithmetic number, because the mean of its divisors is an integer number (73311480).

Almost surely, 2^6835860864 is an apocalyptic number.

6835860864 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 6835860864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11729836800).

6835860864 is an abundant number, since it is smaller than the sum of its proper divisors (16623812736).

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

6835860864 is a wasteful number, since it uses less digits than its factorization.

6835860864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 883 (or 862 counting only the distinct ones).

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

The square root of 6835860864 is about 82679.2650185039. The cubic root of 6835860864 is about 1897.8610152196.

The spelling of 6835860864 in words is "six billion, eight hundred thirty-five million, eight hundred sixty thousand, eight hundred sixty-four".