7224341760 has 432 divisors, whose sum is σ = 27208346256. Its totient is φ = 1762394112.

The previous prime is 7224341759. The next prime is 7224341767. The reversal of 7224341760 is 671434227.

It can be written as a sum of positive squares in 8 ways, for example, as 1696121856 + 5528219904 = 41184^2 + 74352^2 .

It is a super-2 number, since 2×7224341760² (a number of 21 digits) contains 22 as substring.

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 (7224341767) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7245582 + ... + 7246578.

It is an arithmetic number, because the mean of its divisors is an integer number (62982283).

Almost surely, 2^7224341760 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 7224341760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13604173128).

7224341760 is an abundant number, since it is smaller than the sum of its proper divisors (19984004496).

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

7224341760 is a wasteful number, since it uses less digits than its factorization.

7224341760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1078 (or 1061 counting only the distinct ones).

The product of its (nonzero) digits is 56448, while the sum is 36.

The square root of 7224341760 is about 84996.1279118055. The cubic root of 7224341760 is about 1933.1524058459.

Adding to 7224341760 its reverse (671434227), we get a palindrome (7895775987).

It can be divided in two parts, 72243 and 41760, that added together give a triangular number (114003 = T₄₇₇).

The spelling of 7224341760 in words is "seven billion, two hundred twenty-four million, three hundred forty-one thousand, seven hundred sixty".