6477636 has 48 divisors (see below), whose sum is σ = 17031168. Its totient is φ = 1898400.

The previous prime is 6477623. The next prime is 6477637. The reversal of 6477636 is 6367746.

It is a junction number, because it is equal to n+sod(n) for n = 6477594 and 6477603.

It is not an unprimeable number, because it can be changed into a prime (6477637) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3301 + ... + 4883.

It is an arithmetic number, because the mean of its divisors is an integer number (354816).

Almost surely, 2^6477636 is an apocalyptic number.

6477636 is a gapful number since it is divisible by the number (66) 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 6477636, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8515584).

6477636 is an abundant number, since it is smaller than the sum of its proper divisors (10553532).

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

6477636 is a wasteful number, since it uses less digits than its factorization.

6477636 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1632 (or 1630 counting only the distinct ones).

The product of its digits is 127008, while the sum is 39.

The square root of 6477636 is about 2545.1200364619. The cubic root of 6477636 is about 186.4112763107.

The spelling of 6477636 in words is "six million, four hundred seventy-seven thousand, six hundred thirty-six".