7541087040 has 168 divisors, whose sum is σ = 26899148640. Its totient is φ = 2010935808.

The previous prime is 7541087017. The next prime is 7541087051. The reversal of 7541087040 is 407801457.

7541087040 is a `hidden beast` number, since 7 + 541 + 0 + 8 + 70 + 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 = 7541086986 and 7541087004.

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 23 ways as a sum of consecutive naturals, for example, 29271 + ... + 126249.

It is an arithmetic number, because the mean of its divisors is an integer number (160113980).

Almost surely, 2^7541087040 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 7541087040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13449574320).

7541087040 is an abundant number, since it is smaller than the sum of its proper divisors (19358061600).

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

7541087040 is an equidigital number, since it uses as much as digits as its factorization.

7541087040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 97011 (or 96989 counting only the distinct ones).

The product of its (nonzero) digits is 31360, while the sum is 36.

The square root of 7541087040 is about 86839.4325177220. The cubic root of 7541087040 is about 1961.0017647354.

Adding to 7541087040 its reverse (407801457), we get a palindrome (7948888497).

The spelling of 7541087040 in words is "seven billion, five hundred forty-one million, eighty-seven thousand, forty".