6477264 has 60 divisors (see below), whose sum is σ = 18724992. Its totient is φ = 2088000.

The previous prime is 6477253. The next prime is 6477269. The reversal of 6477264 is 4627746.

6477264 is a `hidden beast` number, since 647 + 7 + 2 + 6 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a d-powerful number, because it can be written as 6 + 4⁸ + 7⁴ + 7⁶ + 2²¹ + 6³ + 4¹¹ .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6477269) 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 11 ways as a sum of consecutive naturals, for example, 3739 + ... + 5189.

Almost surely, 2^6477264 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6477264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9362496).

6477264 is an abundant number, since it is smaller than the sum of its proper divisors (12247728).

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

6477264 is a wasteful number, since it uses less digits than its factorization.

6477264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1496 (or 1487 counting only the distinct ones).

The product of its digits is 56448, while the sum is 36.

The square root of 6477264 is about 2545.0469543802. The cubic root of 6477264 is about 186.4077078112.

The spelling of 6477264 in words is "six million, four hundred seventy-seven thousand, two hundred sixty-four".