7431828480 has 132 divisors (see below), whose sum is σ = 25751251812. Its totient is φ = 1981808640.

The previous prime is 7431828461. The next prime is 7431828491. The reversal of 7431828480 is 848281347.

It can be written as a sum of positive squares in 2 ways, for example, as 2667515904 + 4764312576 = 51648^2 + 69024^2 .

It is a super-2 number, since 2×7431828480² (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 a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 34561 + ... + 126720.

It is an arithmetic number, because the mean of its divisors is an integer number (195085241).

Almost surely, 2^7431828480 is an apocalyptic number.

It is an amenable number.

7431828480 is an abundant number, since it is smaller than the sum of its proper divisors (18319423332).

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

7431828480 is a wasteful number, since it uses less digits than its factorization.

7431828480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 161312 (or 161291 counting only the distinct ones).

The product of its (nonzero) digits is 344064, while the sum is 45.

The square root of 7431828480 is about 86208.0534520992. The cubic root of 7431828480 is about 1951.4850383951.

The spelling of 7431828480 in words is "seven billion, four hundred thirty-one million, eight hundred twenty-eight thousand, four hundred eighty".