6565278720 has 1056 divisors, whose sum is σ = 29167883136. Its totient is φ = 1238630400.

The previous prime is 6565278703. The next prime is 6565278793. The reversal of 6565278720 is 278725656.

It is a tau number, because it is divible by the number of its divisors (1056).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 6565278720.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 107627490 + ... + 107627550.

Almost surely, 2^6565278720 is an apocalyptic number.

6565278720 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 6565278720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14583941568).

6565278720 is an abundant number, since it is smaller than the sum of its proper divisors (22602604416).

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

6565278720 is a wasteful number, since it uses less digits than its factorization.

6565278720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 127 (or 102 counting only the distinct ones).

The product of its (nonzero) digits is 1411200, while the sum is 48.

The square root of 6565278720 is about 81026.4075471695. The cubic root of 6565278720 is about 1872.4823068756.

The spelling of 6565278720 in words is "six billion, five hundred sixty-five million, two hundred seventy-eight thousand, seven hundred twenty".