7506564801 has 16 divisors (see below), whose sum is σ = 10127442624. Its totient is φ = 4945296384.

The previous prime is 7506564799. The next prime is 7506564817. The reversal of 7506564801 is 1084656057.

It is not a de Polignac number, because 7506564801 - 2¹ = 7506564799 is a prime.

It is a super-3 number, since 3×7506564801³ (a number of 31 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not an unprimeable number, because it can be changed into a prime (7506564841) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 81390 + ... + 147096.

It is an arithmetic number, because the mean of its divisors is an integer number (632965164).

Almost surely, 2^7506564801 is an apocalyptic number.

It is an amenable number.

7506564801 is a deficient number, since it is larger than the sum of its proper divisors (2620877823).

7506564801 is a wasteful number, since it uses less digits than its factorization.

7506564801 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 66160.

The product of its (nonzero) digits is 201600, while the sum is 42.

The square root of 7506564801 is about 86640.4339843701. The cubic root of 7506564801 is about 1958.0047724087.

The spelling of 7506564801 in words is "seven billion, five hundred six million, five hundred sixty-four thousand, eight hundred one".