3566071111680 has 2688 divisors, whose sum is σ = 16466503495680. Its totient is φ = 725235793920.

The previous prime is 3566071111663. The next prime is 3566071111697. The reversal of 3566071111680 is 861111706653.

3566071111680 is a `hidden beast` number, since 3 + 566 + 0 + 7 + 1 + 1 + 1 + 1 + 6 + 80 = 666.

It is an interprime number because it is at equal distance from previous prime (3566071111663) and next prime (3566071111697).

It is a tau number, because it is divible by the number of its divisors (2688).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

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 191 ways as a sum of consecutive naturals, for example, 75873853417 + ... + 75873853463.

It is an arithmetic number, because the mean of its divisors is an integer number (6125931360).

Almost surely, 2^{3566071111680} is an apocalyptic number.

3566071111680 is a gapful number since it is divisible by the number (30) 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 3566071111680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8233251747840).

3566071111680 is an abundant number, since it is smaller than the sum of its proper divisors (12900432384000).

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

3566071111680 is an frugal number, since it uses more digits than its factorization.

3566071111680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 128 (or 75 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 45.

The spelling of 3566071111680 in words is "three trillion, five hundred sixty-six billion, seventy-one million, one hundred eleven thousand, six hundred eighty".