7282535040 has 768 divisors, whose sum is σ = 29367676800. Its totient is φ = 1724405760.

The previous prime is 7282535009. The next prime is 7282535063. The reversal of 7282535040 is 405352827.

7282535040 is a `hidden beast` number, since 7 + 2 + 82 + 535 + 0 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 7282534986 and 7282535004.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 169361259 + ... + 169361301.

Almost surely, 2^7282535040 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 7282535040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14683838400).

7282535040 is an abundant number, since it is smaller than the sum of its proper divisors (22085141760).

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

7282535040 is an equidigital number, since it uses as much as digits as its factorization.

7282535040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 105 (or 64 counting only the distinct ones).

The product of its (nonzero) digits is 67200, while the sum is 36.

The square root of 7282535040 is about 85337.7703013150. The cubic root of 7282535040 is about 1938.3291526545.

Adding to 7282535040 its reverse (405352827), we get a palindrome (7687887867).

The spelling of 7282535040 in words is "seven billion, two hundred eighty-two million, five hundred thirty-five thousand, forty".