7229181960 has 768 divisors, whose sum is σ = 32757903360. Its totient is φ = 1384750080.

The previous prime is 7229181941. The next prime is 7229181961. The reversal of 7229181960 is 691819227.

It is a super-2 number, since 2×7229181960² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (7229181961) 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 191 ways as a sum of consecutive naturals, for example, 9729349 + ... + 9730091.

It is an arithmetic number, because the mean of its divisors is an integer number (42653520).

Almost surely, 2^7229181960 is an apocalyptic number.

7229181960 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 7229181960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16378951680).

7229181960 is an abundant number, since it is smaller than the sum of its proper divisors (25528721400).

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

7229181960 is a wasteful number, since it uses less digits than its factorization.

7229181960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 800 (or 784 counting only the distinct ones).

The product of its (nonzero) digits is 108864, while the sum is 45.

The square root of 7229181960 is about 85024.5962060391. The cubic root of 7229181960 is about 1933.5840371148.

The spelling of 7229181960 in words is "seven billion, two hundred twenty-nine million, one hundred eighty-one thousand, nine hundred sixty".