6805477440 has 196 divisors, whose sum is σ = 24298032684. Its totient is φ = 1814731776.

The previous prime is 6805477339. The next prime is 6805477447. The reversal of 6805477440 is 447745086.

6805477440 is a `hidden beast` number, since 68 + 0 + 547 + 7 + 4 + 40 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 1380271104 + 5425206336 = 37152^2 + 73656^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6805477447) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 218694 + ... + 247866.

Almost surely, 2^6805477440 is an apocalyptic number.

6805477440 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 6805477440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12149016342).

6805477440 is an abundant number, since it is smaller than the sum of its proper divisors (17492555244).

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

6805477440 is an equidigital number, since it uses as much as digits as its factorization.

6805477440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29208 (or 29183 counting only the distinct ones).

The product of its (nonzero) digits is 752640, while the sum is 45.

The square root of 6805477440 is about 82495.3176853087. The cubic root of 6805477440 is about 1895.0450246077.

The spelling of 6805477440 in words is "six billion, eight hundred five million, four hundred seventy-seven thousand, four hundred forty".