7281550080 has 720 divisors, whose sum is σ = 30391173120. Its totient is φ = 1630347264.

The previous prime is 7281550049. The next prime is 7281550091. The reversal of 7281550080 is 800551827.

7281550080 is a `hidden beast` number, since 7 + 28 + 1 + 550 + 0 + 80 = 666.

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 an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 57334977 + ... + 57335103.

Almost surely, 2^7281550080 is an apocalyptic number.

7281550080 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 7281550080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15195586560).

7281550080 is an abundant number, since it is smaller than the sum of its proper divisors (23109623040).

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

7281550080 is a wasteful number, since it uses less digits than its factorization.

7281550080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 246 (or 223 counting only the distinct ones).

The product of its (nonzero) digits is 22400, while the sum is 36.

The square root of 7281550080 is about 85331.9991562368. Note that the first 3 decimals coincide. The cubic root of 7281550080 is about 1938.2417626293.

The spelling of 7281550080 in words is "seven billion, two hundred eighty-one million, five hundred fifty thousand, eighty".