6549378739456 has 144 divisors (see below), whose sum is σ = 15100377497856. Its totient is φ = 2776913215488.

The previous prime is 6549378739391. The next prime is 6549378739459.

It is a happy number.

6549378739456 is nontrivially palindromic in base 10.

It is a Smith number, since the sum of its digits (76) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6549378739459) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 639145725 + ... + 639155971.

It is an arithmetic number, because the mean of its divisors is an integer number (104863732624).

Almost surely, 2^{6549378739456} 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 6549378739456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7550188748928).

6549378739456 is an abundant number, since it is smaller than the sum of its proper divisors (8550998758400).

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

6549378739456 is a wasteful number, since it uses less digits than its factorization.

6549378739456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14044 (or 14030 counting only the distinct ones).

The product of its digits is 4115059200, while the sum is 76.

The spelling of 6549378739456 in words is "six trillion, five hundred forty-nine billion, three hundred seventy-eight million, seven hundred thirty-nine thousand, four hundred fifty-six".