7208221680 has 720 divisors, whose sum is σ = 29267626752. Its totient is φ = 1581465600.

The previous prime is 7208221673. The next prime is 7208221687. The reversal of 7208221680 is 861228027.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (7208221673) and next prime (7208221687).

It is a tau number, because it is divible by the number of its divisors (720).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7208221687) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 45912162 + ... + 45912318.

Almost surely, 2^7208221680 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 7208221680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14633813376).

7208221680 is an abundant number, since it is smaller than the sum of its proper divisors (22059405072).

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

7208221680 is a wasteful number, since it uses less digits than its factorization.

7208221680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 246 (or 226 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 36.

The square root of 7208221680 is about 84901.2466339570. The cubic root of 7208221680 is about 1931.7134845106.

The spelling of 7208221680 in words is "seven billion, two hundred eight million, two hundred twenty-one thousand, six hundred eighty".