66472566527466 has 96 divisors (see below), whose sum is σ = 162279257003136. Its totient is φ = 19651904078400.

The previous prime is 66472566527449. The next prime is 66472566527503.

It is a happy number.

66472566527466 is a `hidden beast` number, since 6 + 6 + 4 + 7 + 2 + 56 + 6 + 527 + 46 + 6 = 666.

66472566527466 is nontrivially palindromic in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 66472566527394 and 66472566527403.

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, 32853646 + ... + 34818201.

It is an arithmetic number, because the mean of its divisors is an integer number (1690408927116).

Almost surely, 2^{66472566527466} is an apocalyptic number.

66472566527466 is a gapful number since it is divisible by the number (66) formed by its first and last digit.

66472566527466 is an abundant number, since it is smaller than the sum of its proper divisors (95806690475670).

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

66472566527466 is a wasteful number, since it uses less digits than its factorization.

66472566527466 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 67671929 (or 67671904 counting only the distinct ones).

The product of its digits is 3657830400, while the sum is 72.

The spelling of 66472566527466 in words is "sixty-six trillion, four hundred seventy-two billion, five hundred sixty-six million, five hundred twenty-seven thousand, four hundred sixty-six".