220662781747320 has 512 divisors, whose sum is σ = 761910095232000. Its totient is φ = 50563160064000.

The previous prime is 220662781747271. The next prime is 220662781747321. The reversal of 220662781747320 is 23747187266022.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (220662781747321) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 45394521690 + ... + 45394526550.

It is an arithmetic number, because the mean of its divisors is an integer number (1488105654750).

Almost surely, 2^{220662781747320} is an apocalyptic number.

220662781747320 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 220662781747320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (380955047616000).

220662781747320 is an abundant number, since it is smaller than the sum of its proper divisors (541247313484680).

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

220662781747320 is a wasteful number, since it uses less digits than its factorization.

220662781747320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8655 (or 8651 counting only the distinct ones).

The product of its (nonzero) digits is 18966528, while the sum is 57.

The spelling of 220662781747320 in words is "two hundred twenty trillion, six hundred sixty-two billion, seven hundred eighty-one million, seven hundred forty-seven thousand, three hundred twenty".