6477828448 has 192 divisors, whose sum is σ = 16441270272. Its totient is φ = 2443530240.

The previous prime is 6477828419. The next prime is 6477828463. The reversal of 6477828448 is 8448287746.

It is a super-2 number, since 2×6477828448² = 83924522803436177408, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 6477828392 and 6477828401.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6589365 + ... + 6590347.

It is an arithmetic number, because the mean of its divisors is an integer number (85631616).

Almost surely, 2^6477828448 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 6477828448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8220635136).

6477828448 is an abundant number, since it is smaller than the sum of its proper divisors (9963441824).

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

6477828448 is a wasteful number, since it uses less digits than its factorization.

6477828448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1117 (or 1109 counting only the distinct ones).

The product of its digits is 19267584, while the sum is 58.

The square root of 6477828448 is about 80484.9578989764. The cubic root of 6477828448 is about 1864.1312236082.

The spelling of 6477828448 in words is "six billion, four hundred seventy-seven million, eight hundred twenty-eight thousand, four hundred forty-eight".