7540516000 has 72 divisors (see below), whose sum is σ = 18540551484. Its totient is φ = 3014009600.

The previous prime is 7540515989. The next prime is 7540516013. The reversal of 7540516000 is 6150457.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 6 ways, for example, as 4310185104 + 3230330896 = 65652^2 + 56836^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 7540516000.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5491314 + ... + 5492686.

Almost surely, 2^7540516000 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 7540516000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9270275742).

7540516000 is an abundant number, since it is smaller than the sum of its proper divisors (11000035484).

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

7540516000 is an frugal number, since it uses more digits than its factorization.

7540516000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2771 (or 1380 counting only the distinct ones).

The product of its (nonzero) digits is 4200, while the sum is 28.

The square root of 7540516000 is about 86836.1445482237. The cubic root of 7540516000 is about 1960.9522652973.

Adding to 7540516000 its reverse (6150457), we get a palindrome (7546666457).

The spelling of 7540516000 in words is "seven billion, five hundred forty million, five hundred sixteen thousand".