6477975 has 60 divisors (see below), whose sum is σ = 13743664. Its totient is φ = 2954880.

The previous prime is 6477971. The next prime is 6477983. The reversal of 6477975 is 5797746.

It is not a de Polignac number, because 6477975 - 2² = 6477971 is a prime.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

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

It is a Duffinian number.

6477975 is a lucky number.

It is a self number, because there is not a number n which added to its sum of digits gives 6477975.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6477971) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 13947 + ... + 14403.

Almost surely, 2^6477975 is an apocalyptic number.

6477975 is an abundant number, since it is smaller than the sum of its proper divisors (7265689).

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

6477975 is a wasteful number, since it uses less digits than its factorization.

6477975 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 486 (or 472 counting only the distinct ones).

The product of its digits is 370440, while the sum is 45.

The square root of 6477975 is about 2545.1866336283. The cubic root of 6477975 is about 186.4145281308.

The spelling of 6477975 in words is "six million, four hundred seventy-seven thousand, nine hundred seventy-five".