66188338560 has 384 divisors, whose sum is σ = 243055481760. Its totient is φ = 16539648000.

The previous prime is 66188338553. The next prime is 66188338571. The reversal of 66188338560 is 6583388166.

66188338560 is a `hidden beast` number, since 66 + 18 + 8 + 3 + 3 + 8 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×66188338560² (a number of 22 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 66188338497 and 66188338506.

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, 24576574 + ... + 24579266.

Almost surely, 2^66188338560 is an apocalyptic number.

66188338560 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 66188338560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121527740880).

66188338560 is an abundant number, since it is smaller than the sum of its proper divisors (176867143200).

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

66188338560 is a wasteful number, since it uses less digits than its factorization.

66188338560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2986 (or 2971 counting only the distinct ones).

The product of its (nonzero) digits is 4976640, while the sum is 54.

The spelling of 66188338560 in words is "sixty-six billion, one hundred eighty-eight million, three hundred thirty-eight thousand, five hundred sixty".