6477640 has 32 divisors (see below), whose sum is σ = 15697080. Its totient is φ = 2391552.

The previous prime is 6477637. The next prime is 6477641. The reversal of 6477640 is 467746.

6477640 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 5080516 + 1397124 = 2254^2 + 1182^2 .

It is a Smith number, since the sum of its digits (34) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 6477596 and 6477605.

It is not an unprimeable number, because it can be changed into a prime (6477641) 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 7 ways as a sum of consecutive naturals, for example, 5709 + ... + 6748.

Almost surely, 2^6477640 is an apocalyptic number.

It is an amenable number.

6477640 is an abundant number, since it is smaller than the sum of its proper divisors (9219440).

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

6477640 is a wasteful number, since it uses less digits than its factorization.

6477640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12481 (or 12477 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 34.

The square root of 6477640 is about 2545.1208222794. The cubic root of 6477640 is about 186.4113146809.

It can be divided in two parts, 6477 and 640, that added together give a palindrome (7117).

The spelling of 6477640 in words is "six million, four hundred seventy-seven thousand, six hundred forty".