66123509760 has 832 divisors, whose sum is σ = 293271874560. Its totient is φ = 13731102720.

The previous prime is 66123509741. The next prime is 66123509801. The reversal of 66123509760 is 6790532166.

66123509760 is a `hidden beast` number, since 6 + 61 + 23 + 509 + 7 + 60 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 42577144 + ... + 42578696.

Almost surely, 2^66123509760 is an apocalyptic number.

66123509760 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 66123509760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146635937280).

66123509760 is an abundant number, since it is smaller than the sum of its proper divisors (227148364800).

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

66123509760 is a wasteful number, since it uses less digits than its factorization.

66123509760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1609 (or 1581 counting only the distinct ones).

The product of its (nonzero) digits is 408240, while the sum is 45.

The spelling of 66123509760 in words is "sixty-six billion, one hundred twenty-three million, five hundred nine thousand, seven hundred sixty".