219829980672 has 320 divisors, whose sum is σ = 661855138560. Its totient is φ = 72031444992.

The previous prime is 219829980619. The next prime is 219829980679. The reversal of 219829980672 is 276089928912.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (219829980679) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 324711598 + ... + 324712274.

It is an arithmetic number, because the mean of its divisors is an integer number (2068297308).

Almost surely, 2^219829980672 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 219829980672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (330927569280).

219829980672 is an abundant number, since it is smaller than the sum of its proper divisors (442025157888).

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

219829980672 is an equidigital number, since it uses as much as digits as its factorization.

219829980672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1070 (or 1048 counting only the distinct ones).

The product of its (nonzero) digits is 15676416, while the sum is 63.

The spelling of 219829980672 in words is "two hundred nineteen billion, eight hundred twenty-nine million, nine hundred eighty thousand, six hundred seventy-two".