6477744 has 80 divisors (see below), whose sum is σ = 20609792. Its totient is φ = 1707264.

The previous prime is 6477739. The next prime is 6477767. The reversal of 6477744 is 4477746.

6477744 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×6477744² = 83922334659072, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3627 + ... + 5109.

Almost surely, 2^6477744 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 6477744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10304896).

6477744 is an abundant number, since it is smaller than the sum of its proper divisors (14132048).

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

6477744 is a wasteful number, since it uses less digits than its factorization.

6477744 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1514 (or 1508 counting only the distinct ones).

The product of its digits is 131712, while the sum is 39.

The square root of 6477744 is about 2545.1412534474. The cubic root of 6477744 is about 186.4123123011.

The spelling of 6477744 in words is "six million, four hundred seventy-seven thousand, seven hundred forty-four".