6544456720 has 80 divisors (see below), whose sum is σ = 15578645760. Its totient is φ = 2555651072.

The previous prime is 6544456657. The next prime is 6544456747. The reversal of 6544456720 is 276544456.

It is a tau number, because it is divible by the number of its divisors (80).

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, 1663716 + ... + 1667644.

It is an arithmetic number, because the mean of its divisors is an integer number (194733072).

Almost surely, 2^6544456720 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 6544456720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7789322880).

6544456720 is an abundant number, since it is smaller than the sum of its proper divisors (9034189040).

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

6544456720 is a wasteful number, since it uses less digits than its factorization.

6544456720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4432 (or 4426 counting only the distinct ones).

The product of its (nonzero) digits is 806400, while the sum is 43.

The square root of 6544456720 is about 80897.8165341933. The cubic root of 6544456720 is about 1870.5006637925.

The spelling of 6544456720 in words is "six billion, five hundred forty-four million, four hundred fifty-six thousand, seven hundred twenty".