66128445504 has 168 divisors, whose sum is σ = 207000847872. Its totient is φ = 20017198080.

The previous prime is 66128445347. The next prime is 66128445511. The reversal of 66128445504 is 40554482166.

It is a happy number.

66128445504 is a `hidden beast` number, since 6 + 6 + 12 + 84 + 4 + 550 + 4 = 666.

It is a super-3 number, since 3×66128445504³ (a number of 33 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 66128445504.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6413217 + ... + 6423519.

It is an arithmetic number, because the mean of its divisors is an integer number (1232147904).

Almost surely, 2^66128445504 is an apocalyptic number.

66128445504 is a gapful number since it is divisible by the number (64) 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 66128445504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103500423936).

66128445504 is an abundant number, since it is smaller than the sum of its proper divisors (140872402368).

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

66128445504 is a wasteful number, since it uses less digits than its factorization.

66128445504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11345 (or 11332 counting only the distinct ones).

The product of its (nonzero) digits is 921600, while the sum is 45.

The spelling of 66128445504 in words is "sixty-six billion, one hundred twenty-eight million, four hundred forty-five thousand, five hundred four".