7540782240 has 96 divisors (see below), whose sum is σ = 24519753216. Its totient is φ = 1946004480.

The previous prime is 7540782239. The next prime is 7540782269. The reversal of 7540782240 is 422870457.

It is a tau number, because it is divible by the number of its divisors (96).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 238507 + ... + 268266.

It is an arithmetic number, because the mean of its divisors is an integer number (255414096).

Almost surely, 2^7540782240 is an apocalyptic number.

It is an amenable number.

7540782240 is an abundant number, since it is smaller than the sum of its proper divisors (16978970976).

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

7540782240 is a wasteful number, since it uses less digits than its factorization.

7540782240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 506822 (or 506814 counting only the distinct ones).

The product of its (nonzero) digits is 125440, while the sum is 39.

The square root of 7540782240 is about 86837.6775368849. The cubic root of 7540782240 is about 1960.9753440798.

The spelling of 7540782240 in words is "seven billion, five hundred forty million, seven hundred eighty-two thousand, two hundred forty".