220807641600 has 2880 divisors, whose sum is σ = 1093261276800. Its totient is φ = 43104337920.

The previous prime is 220807641539. The next prime is 220807641623. The reversal of 220807641600 is 6146708022.

220807641600 is a `hidden beast` number, since 2 + 2 + 0 + 8 + 0 + 7 + 6 + 41 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (2880).

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

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 3742502371 + ... + 3742502429.

It is an arithmetic number, because the mean of its divisors is an integer number (379604610).

Almost surely, 2^220807641600 is an apocalyptic number.

220807641600 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 220807641600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (546630638400).

220807641600 is an abundant number, since it is smaller than the sum of its proper divisors (872453635200).

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

220807641600 is a wasteful number, since it uses less digits than its factorization.

220807641600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 140 (or 106 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The spelling of 220807641600 in words is "two hundred twenty billion, eight hundred seven million, six hundred forty-one thousand, six hundred".