66218452560 has 560 divisors, whose sum is σ = 250554213504. Its totient is φ = 16171342848.

The previous prime is 66218452537. The next prime is 66218452577. The reversal of 66218452560 is 6525481266.

66218452560 is a `hidden beast` number, since 6 + 6 + 2 + 1 + 84 + 5 + 2 + 560 = 666.

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 111 ways as a sum of consecutive naturals, for example, 126612459 + ... + 126612981.

Almost surely, 2^66218452560 is an apocalyptic number.

66218452560 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 66218452560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125277106752).

66218452560 is an abundant number, since it is smaller than the sum of its proper divisors (184335760944).

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

66218452560 is a wasteful number, since it uses less digits than its factorization.

66218452560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 734 (or 713 counting only the distinct ones).

The product of its (nonzero) digits is 691200, while the sum is 45.

The spelling of 66218452560 in words is "sixty-six billion, two hundred eighteen million, four hundred fifty-two thousand, five hundred sixty".