6473736 has 128 divisors (see below), whose sum is σ = 19958400. Its totient is φ = 1935360.

The previous prime is 6473723. The next prime is 6473743. The reversal of 6473736 is 6373746.

6473736 is a `hidden beast` number, since 647 + 3 + 7 + 3 + 6 = 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 + 4⁴ + 7² + 3¹¹ + 7⁸ + 3¹² + 6² .

It is a zygodrome in base 3.

It is a self number, because there is not a number n which added to its sum of digits gives 6473736.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 150531 + ... + 150573.

It is an arithmetic number, because the mean of its divisors is an integer number (155925).

Almost surely, 2^6473736 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 6473736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9979200).

6473736 is an abundant number, since it is smaller than the sum of its proper divisors (13484664).

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

6473736 is a wasteful number, since it uses less digits than its factorization.

6473736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 116 (or 106 counting only the distinct ones).

The product of its digits is 63504, while the sum is 36.

The square root of 6473736 is about 2544.3537489901. The cubic root of 6473736 is about 186.3738578281.

The spelling of 6473736 in words is "six million, four hundred seventy-three thousand, seven hundred thirty-six".