7281781416 has 720 divisors, whose sum is σ = 27262461600. Its totient is φ = 1805836032.

The previous prime is 7281781349. The next prime is 7281781417. The reversal of 7281781416 is 6141871827.

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (7281781417) by changing a digit.

It is a polite number, since it can be written in 179 ways as a sum of consecutive naturals, for example, 123419995 + ... + 123420053.

It is an arithmetic number, because the mean of its divisors is an integer number (37864530).

Almost surely, 2^7281781416 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 7281781416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13631230800).

7281781416 is an abundant number, since it is smaller than the sum of its proper divisors (19980680184).

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

7281781416 is a wasteful number, since it uses less digits than its factorization.

7281781416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 140 (or 107 counting only the distinct ones).

The product of its digits is 150528, while the sum is 45.

The square root of 7281781416 is about 85333.3546510390. The cubic root of 7281781416 is about 1938.2622884946.

The spelling of 7281781416 in words is "seven billion, two hundred eighty-one million, seven hundred eighty-one thousand, four hundred sixteen".