66412096128 has 128 divisors (see below), whose sum is σ = 224009136000. Its totient is φ = 18974877696.

The previous prime is 66412096117. The next prime is 66412096133. The reversal of 66412096128 is 82169021466.

66412096128 is a `hidden beast` number, since 6 + 6 + 4 + 1 + 20 + 9 + 612 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×66412096128² (a number of 22 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1348413 + ... + 1396796.

It is an arithmetic number, because the mean of its divisors is an integer number (1750071375).

Almost surely, 2^66412096128 is an apocalyptic number.

It is an amenable number.

66412096128 is an abundant number, since it is smaller than the sum of its proper divisors (157597039872).

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

66412096128 is a wasteful number, since it uses less digits than its factorization.

66412096128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2745239 (or 2745221 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The spelling of 66412096128 in words is "sixty-six billion, four hundred twelve million, ninety-six thousand, one hundred twenty-eight".