416626066566 has 96 divisors (see below), whose sum is σ = 985736169600. Its totient is φ = 131520231360.

The previous prime is 416626066559. The next prime is 416626066573. The reversal of 416626066566 is 665660626614.

416626066566 is a `hidden beast` number, since 4 + 1 + 6 + 626 + 0 + 6 + 6 + 5 + 6 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (416626066559) and next prime (416626066573).

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

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 34796961 + ... + 34808931.

It is an arithmetic number, because the mean of its divisors is an integer number (10268085100).

Almost surely, 2^416626066566 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 416626066566, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (492868084800).

416626066566 is an abundant number, since it is smaller than the sum of its proper divisors (569110103034).

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

416626066566 is a wasteful number, since it uses less digits than its factorization.

416626066566 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15776 (or 15764 counting only the distinct ones).

The product of its (nonzero) digits is 11197440, while the sum is 54.

The spelling of 416626066566 in words is "four hundred sixteen billion, six hundred twenty-six million, sixty-six thousand, five hundred sixty-six".