220806768096 has 192 divisors, whose sum is σ = 648128194560. Its totient is φ = 73134213120.

The previous prime is 220806768067. The next prime is 220806768173. The reversal of 220806768096 is 690867608022.

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 31 ways as a sum of consecutive naturals, for example, 126391095 + ... + 126392841.

It is an arithmetic number, because the mean of its divisors is an integer number (3375667680).

Almost surely, 2^220806768096 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 220806768096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (324064097280).

220806768096 is an abundant number, since it is smaller than the sum of its proper divisors (427321426464).

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

220806768096 is a wasteful number, since it uses less digits than its factorization.

220806768096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2614 (or 2600 counting only the distinct ones).

The product of its (nonzero) digits is 3483648, while the sum is 54.

The spelling of 220806768096 in words is "two hundred twenty billion, eight hundred six million, seven hundred sixty-eight thousand, ninety-six".