7535012040 has 192 divisors, whose sum is σ = 25462382400. Its totient is φ = 2004072192.

The previous prime is 7535011997. The next prime is 7535012047. The reversal of 7535012040 is 402105357.

It is a happy number.

7535012040 is a `hidden beast` number, since 7 + 535 + 0 + 120 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 7535011995 and 7535012013.

It is not an unprimeable number, because it can be changed into a prime (7535012047) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4946719 + ... + 4948241.

It is an arithmetic number, because the mean of its divisors is an integer number (132616575).

Almost surely, 2^7535012040 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 7535012040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12731191200).

7535012040 is an abundant number, since it is smaller than the sum of its proper divisors (17927370360).

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

7535012040 is a wasteful number, since it uses less digits than its factorization.

7535012040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2058 (or 2042 counting only the distinct ones).

The product of its (nonzero) digits is 4200, while the sum is 27.

The square root of 7535012040 is about 86804.4471211009. The cubic root of 7535012040 is about 1960.4750375718.

Adding to 7535012040 its reverse (402105357), we get a palindrome (7937117397).

The spelling of 7535012040 in words is "seven billion, five hundred thirty-five million, twelve thousand, forty".