7281031680 has 800 divisors, whose sum is σ = 29238534864. Its totient is φ = 1719926784.

The previous prime is 7281031661. The next prime is 7281031691. The reversal of 7281031680 is 861301827.

It can be written as a sum of positive squares in 8 ways, for example, as 3605762304 + 3675269376 = 60048^2 + 60624^2 .

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 (17) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 99740124 + ... + 99740196.

Almost surely, 2^7281031680 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 7281031680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14619267432).

7281031680 is an abundant number, since it is smaller than the sum of its proper divisors (21957503184).

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

7281031680 is a wasteful number, since it uses less digits than its factorization.

7281031680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 158 (or 133 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 36.

The square root of 7281031680 is about 85328.9615546797. The cubic root of 7281031680 is about 1938.1957647139.

The spelling of 7281031680 in words is "seven billion, two hundred eighty-one million, thirty-one thousand, six hundred eighty".