6805786624 has 312 divisors, whose sum is σ = 18219405120. Its totient is φ = 2468413440.

The previous prime is 6805786619. The next prime is 6805786627. The reversal of 6805786624 is 4266875086.

It is a Harshad number since it is a multiple of its sum of digits (52).

It is not an unprimeable number, because it can be changed into a prime (6805786627) 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, 219541489 + ... + 219541519.

Almost surely, 2^6805786624 is an apocalyptic number.

6805786624 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 6805786624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9109702560).

6805786624 is an abundant number, since it is smaller than the sum of its proper divisors (11413618496).

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

6805786624 is a wasteful number, since it uses less digits than its factorization.

6805786624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 125 (or 72 counting only the distinct ones).

The product of its (nonzero) digits is 3870720, while the sum is 52.

The square root of 6805786624 is about 82497.1916128058. The cubic root of 6805786624 is about 1895.0737225074.

The spelling of 6805786624 in words is "six billion, eight hundred five million, seven hundred eighty-six thousand, six hundred twenty-four".