7752638016 has 84 divisors (see below), whose sum is σ = 22235885932. Its totient is φ = 2582544384.

The previous prime is 7752638011. The next prime is 7752638041. The reversal of 7752638016 is 6108362577.

7752638016 is a `hidden beast` number, since 7 + 7 + 5 + 2 + 638 + 0 + 1 + 6 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 3057647616 + 4694990400 = 55296^2 + 68520^2 .

It is not an unprimeable number, because it can be changed into a prime (7752638011) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 1158456 + ... + 1165128.

Almost surely, 2^7752638016 is an apocalyptic number.

It is an amenable number.

7752638016 is an abundant number, since it is smaller than the sum of its proper divisors (14483247916).

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

7752638016 is a wasteful number, since it uses less digits than its factorization.

7752638016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8708 (or 8695 counting only the distinct ones).

The product of its (nonzero) digits is 423360, while the sum is 45.

The square root of 7752638016 is about 88049.0659575671. The cubic root of 7752638016 is about 1979.1703166026.

The spelling of 7752638016 in words is "seven billion, seven hundred fifty-two million, six hundred thirty-eight thousand, sixteen".