6865092864 has 540 divisors, whose sum is σ = 24784581276. Its totient is φ = 1820786688.

The previous prime is 6865092851. The next prime is 6865092907. The reversal of 6865092864 is 4682905686.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 4652331264 + 2212761600 = 68208^2 + 47040^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 6865092864.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 94042332 + ... + 94042404.

Almost surely, 2^6865092864 is an apocalyptic number.

6865092864 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 6865092864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12392290638).

6865092864 is an abundant number, since it is smaller than the sum of its proper divisors (17919488412).

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

6865092864 is an equidigital number, since it uses as much as digits as its factorization.

6865092864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 140 (or 102 counting only the distinct ones).

The product of its (nonzero) digits is 4976640, while the sum is 54.

The square root of 6865092864 is about 82855.8559427154. The cubic root of 6865092864 is about 1900.5624248189.

The spelling of 6865092864 in words is "six billion, eight hundred sixty-five million, ninety-two thousand, eight hundred sixty-four".