6477504 has 56 divisors (see below), whose sum is σ = 18702528. Its totient is φ = 1962240.

The previous prime is 6477503. The next prime is 6477533. The reversal of 6477504 is 4057746.

It is a Smith number, since the sum of its digits (33) 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 (33).

It is not an unprimeable number, because it can be changed into a prime (6477503) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 579 + ... + 3645.

Almost surely, 2^6477504 is an apocalyptic number.

6477504 is a gapful number since it is divisible by the number (64) 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 6477504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9351264).

6477504 is an abundant number, since it is smaller than the sum of its proper divisors (12225024).

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

6477504 is a wasteful number, since it uses less digits than its factorization.

6477504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3093 (or 3083 counting only the distinct ones).

The product of its (nonzero) digits is 23520, while the sum is 33.

The square root of 6477504 is about 2545.0941043506. The cubic root of 6477504 is about 186.4100100846.

The spelling of 6477504 in words is "six million, four hundred seventy-seven thousand, five hundred four".