7220021760 has 480 divisors, whose sum is σ = 28955646720. Its totient is φ = 1628504064.

The previous prime is 7220021749. The next prime is 7220021761. The reversal of 7220021760 is 671200227.

It is a tau number, because it is divible by the number of its divisors (480).

It is not an unprimeable number, because it can be changed into a prime (7220021761) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 14353669 + ... + 14354171.

It is an arithmetic number, because the mean of its divisors is an integer number (60324264).

Almost surely, 2^7220021760 is an apocalyptic number.

7220021760 is a gapful number since it is divisible by the number (70) 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 7220021760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14477823360).

7220021760 is an abundant number, since it is smaller than the sum of its proper divisors (21735624960).

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

7220021760 is a wasteful number, since it uses less digits than its factorization.

7220021760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 628 (or 609 counting only the distinct ones).

The product of its (nonzero) digits is 2352, while the sum is 27.

The square root of 7220021760 is about 84970.7111892092. The cubic root of 7220021760 is about 1932.7670012494.

Adding to 7220021760 its reverse (671200227), we get a palindrome (7891221987).

The spelling of 7220021760 in words is "seven billion, two hundred twenty million, twenty-one thousand, seven hundred sixty".