6545518560 has 288 divisors, whose sum is σ = 26352248832. Its totient is φ = 1447787520.

The previous prime is 6545518537. The next prime is 6545518579. The reversal of 6545518560 is 658155456.

6545518560 is a `hidden beast` number, since 6 + 545 + 51 + 8 + 56 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 302007 + ... + 322953.

It is an arithmetic number, because the mean of its divisors is an integer number (91500864).

Almost surely, 2^6545518560 is an apocalyptic number.

6545518560 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 6545518560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13176124416).

6545518560 is an abundant number, since it is smaller than the sum of its proper divisors (19806730272).

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

6545518560 is a wasteful number, since it uses less digits than its factorization.

6545518560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21006 (or 20995 counting only the distinct ones).

The product of its (nonzero) digits is 720000, while the sum is 45.

The square root of 6545518560 is about 80904.3791151011. The cubic root of 6545518560 is about 1870.6018214134.

The spelling of 6545518560 in words is "six billion, five hundred forty-five million, five hundred eighteen thousand, five hundred sixty".