220937992704 has 960 divisors, whose sum is σ = 804645249408. Its totient is φ = 57808650240.

The previous prime is 220937992669. The next prime is 220937992747. The reversal of 220937992704 is 407299739022.

220937992704 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 1355447727 + ... + 1355447889.

Almost surely, 2^220937992704 is an apocalyptic number.

220937992704 is a gapful number since it is divisible by the number (24) 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 220937992704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (402322624704).

220937992704 is an abundant number, since it is smaller than the sum of its proper divisors (583707256704).

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

220937992704 is a wasteful number, since it uses less digits than its factorization.

220937992704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 250 (or 209 counting only the distinct ones).

The product of its (nonzero) digits is 3429216, while the sum is 54.

The spelling of 220937992704 in words is "two hundred twenty billion, nine hundred thirty-seven million, nine hundred ninety-two thousand, seven hundred four".