7506984564 has 36 divisors (see below), whose sum is σ = 18978617476. Its totient is φ = 2501981568.

The previous prime is 7506984553. The next prime is 7506984587. The reversal of 7506984564 is 4654896057.

7506984564 is a `hidden beast` number, since 7 + 506 + 9 + 84 + 56 + 4 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 6069968100 + 1437016464 = 77910^2 + 37908^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a self number, because there is not a number n which added to its sum of digits gives 7506984564.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 502872 + ... + 517584.

Almost surely, 2^7506984564 is an apocalyptic number.

It is an amenable number.

7506984564 is an abundant number, since it is smaller than the sum of its proper divisors (11471632912).

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

7506984564 is a wasteful number, since it uses less digits than its factorization.

7506984564 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28896 (or 28891 counting only the distinct ones).

The product of its (nonzero) digits is 7257600, while the sum is 54.

The square root of 7506984564 is about 86642.8563933577. The cubic root of 7506984564 is about 1958.0412685806.

The spelling of 7506984564 in words is "seven billion, five hundred six million, nine hundred eighty-four thousand, five hundred sixty-four".