6549338880 has 432 divisors, whose sum is σ = 26081799744. Its totient is φ = 1486356480.

The previous prime is 6549338867. The next prime is 6549338881. The reversal of 6549338880 is 888339456.

It is a happy number.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (6549338881) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 19434072 + ... + 19434408.

Almost surely, 2^6549338880 is an apocalyptic number.

6549338880 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6549338880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13040899872).

6549338880 is an abundant number, since it is smaller than the sum of its proper divisors (19532460864).

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

6549338880 is a wasteful number, since it uses less digits than its factorization.

6549338880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 612 (or 595 counting only the distinct ones).

The product of its (nonzero) digits is 4976640, while the sum is 54.

The square root of 6549338880 is about 80927.9857651233. The cubic root of 6549338880 is about 1870.9656788941.

The spelling of 6549338880 in words is "six billion, five hundred forty-nine million, three hundred thirty-eight thousand, eight hundred eighty".