220447669728 has 576 divisors, whose sum is σ = 735142625280. Its totient is φ = 57249054720.

The previous prime is 220447669703. The next prime is 220447669769. The reversal of 220447669728 is 827966744022.

It is a super-3 number, since 3×220447669728³ (a number of 35 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 202803201 + ... + 202804287.

It is an arithmetic number, because the mean of its divisors is an integer number (1276289280).

Almost surely, 2^220447669728 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 220447669728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (367571312640).

220447669728 is an abundant number, since it is smaller than the sum of its proper divisors (514694955552).

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

220447669728 is a wasteful number, since it uses less digits than its factorization.

220447669728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1231 (or 1212 counting only the distinct ones).

The product of its (nonzero) digits is 16257024, while the sum is 57.

The spelling of 220447669728 in words is "two hundred twenty billion, four hundred forty-seven million, six hundred sixty-nine thousand, seven hundred twenty-eight".