220682864000 has 128 divisors (see below), whose sum is σ = 549082385280. Its totient is φ = 88207257600.

The previous prime is 220682863993. The next prime is 220682864023. The reversal of 220682864000 is 468286022.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 25323644 + ... + 25332356.

It is an arithmetic number, because the mean of its divisors is an integer number (4289706135).

Almost surely, 2^220682864000 is an apocalyptic number.

220682864000 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 220682864000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (274541192640).

220682864000 is an abundant number, since it is smaller than the sum of its proper divisors (328399521280).

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

220682864000 is an equidigital number, since it uses as much as digits as its factorization.

220682864000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10325 (or 10303 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 38.

The spelling of 220682864000 in words is "two hundred twenty billion, six hundred eighty-two million, eight hundred sixty-four thousand".