220601641680 has 540 divisors, whose sum is σ = 909607771332. Its totient is φ = 47766620160.

The previous prime is 220601641679. The next prime is 220601641723. The reversal of 220601641680 is 86146106022.

220601641680 is a `hidden beast` number, since 2 + 2 + 0 + 6 + 0 + 1 + 641 + 6 + 8 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 70191084096 + 150410557584 = 264936^2 + 387828^2 .

It is a super-2 number, since 2×220601641680² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 12727420 + ... + 12744740.

Almost surely, 2^220601641680 is an apocalyptic number.

220601641680 is a gapful number since it is divisible by the number (20) 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 220601641680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (454803885666).

220601641680 is an abundant number, since it is smaller than the sum of its proper divisors (689006129652).

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

220601641680 is a wasteful number, since it uses less digits than its factorization.

220601641680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17392 (or 17357 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The spelling of 220601641680 in words is "two hundred twenty billion, six hundred one million, six hundred forty-one thousand, six hundred eighty".