220684166766 has 160 divisors (see below), whose sum is σ = 585312583680. Its totient is φ = 60806894400.

The previous prime is 220684166657. The next prime is 220684166839. The reversal of 220684166766 is 667661486022.

It is a super-2 number, since 2×220684166766² (a number of 23 digits) contains 22 as substring.

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 polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 31928851 + ... + 31935761.

It is an arithmetic number, because the mean of its divisors is an integer number (3658203648).

Almost surely, 2^220684166766 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 220684166766, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (292656291840).

220684166766 is an abundant number, since it is smaller than the sum of its proper divisors (364628416914).

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

220684166766 is a wasteful number, since it uses less digits than its factorization.

220684166766 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7932 (or 7923 counting only the distinct ones).

The product of its (nonzero) digits is 6967296, while the sum is 54.

The spelling of 220684166766 in words is "two hundred twenty billion, six hundred eighty-four million, one hundred sixty-six thousand, seven hundred sixty-six".