66566069460 has 192 divisors, whose sum is σ = 237812198400. Its totient is φ = 15287875200.

The previous prime is 66566069407. The next prime is 66566069473. The reversal of 66566069460 is 6496066566.

It is a happy number.

66566069460 is a `hidden beast` number, since 6 + 65 + 6 + 60 + 69 + 460 = 666.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 66566069397 and 66566069406.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 182046 + ... + 407765.

It is an arithmetic number, because the mean of its divisors is an integer number (1238605200).

Almost surely, 2^66566069460 is an apocalyptic number.

66566069460 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

66566069460 is an abundant number, since it is smaller than the sum of its proper divisors (171246128940).

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

66566069460 is a wasteful number, since it uses less digits than its factorization.

66566069460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 589859 (or 589851 counting only the distinct ones).

The product of its (nonzero) digits is 8398080, while the sum is 54.

The spelling of 66566069460 in words is "sixty-six billion, five hundred sixty-six million, sixty-nine thousand, four hundred sixty".