6477480 has 96 divisors (see below), whose sum is σ = 22183200. Its totient is φ = 1634688.

The previous prime is 6477463. The next prime is 6477487. The reversal of 6477480 is 847746.

It is a happy number.

6477480 is a `hidden beast` number, since 647 + 7 + 4 + 8 + 0 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6477487) 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 23 ways as a sum of consecutive naturals, for example, 6367 + ... + 7313.

It is an arithmetic number, because the mean of its divisors is an integer number (231075).

Almost surely, 2^6477480 is an apocalyptic number.

6477480 is a gapful number since it is divisible by the number (60) 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 6477480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11091600).

6477480 is an abundant number, since it is smaller than the sum of its proper divisors (15705720).

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

6477480 is a wasteful number, since it uses less digits than its factorization.

6477480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 983 (or 976 counting only the distinct ones).

The product of its (nonzero) digits is 37632, while the sum is 36.

The square root of 6477480 is about 2545.0893893928. The cubic root of 6477480 is about 186.4097798598.

The spelling of 6477480 in words is "six million, four hundred seventy-seven thousand, four hundred eighty".