6066559618560 has 960 divisors, whose sum is σ = 24998375001600. Its totient is φ = 1381220646912.

The previous prime is 6066559618549. The next prime is 6066559618591. The reversal of 6066559618560 is 658169556606.

6066559618560 is a `hidden beast` number, since 6 + 0 + 6 + 6 + 5 + 5 + 9 + 61 + 8 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1171374051 + ... + 1171379229.

It is an arithmetic number, because the mean of its divisors is an integer number (26039973960).

Almost surely, 2^{6066559618560} is an apocalyptic number.

6066559618560 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 6066559618560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12499187500800).

6066559618560 is an abundant number, since it is smaller than the sum of its proper divisors (18931815383040).

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

6066559618560 is an equidigital number, since it uses as much as digits as its factorization.

6066559618560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5493 (or 5465 counting only the distinct ones).

The product of its (nonzero) digits is 69984000, while the sum is 63.

The spelling of 6066559618560 in words is "six trillion, sixty-six billion, five hundred fifty-nine million, six hundred eighteen thousand, five hundred sixty".