6547722277456 has 80 divisors (see below), whose sum is σ = 13530111696000. Its totient is φ = 3058938281984.

The previous prime is 6547722277441. The next prime is 6547722277489.

It is a happy number.

6547722277456 is nontrivially palindromic in base 10.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 29051856 + ... + 29276368.

It is an arithmetic number, because the mean of its divisors is an integer number (169126396200).

Almost surely, 2^{6547722277456} 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 6547722277456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6765055848000).

6547722277456 is an abundant number, since it is smaller than the sum of its proper divisors (6982389418544).

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

6547722277456 is a wasteful number, since it uses less digits than its factorization.

6547722277456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 225316 (or 225310 counting only the distinct ones).

The product of its digits is 276595200, while the sum is 64.

The spelling of 6547722277456 in words is "six trillion, five hundred forty-seven billion, seven hundred twenty-two million, two hundred seventy-seven thousand, four hundred fifty-six".