7566912144 has 135 divisors (see below), whose sum is σ = 23312402659. Its totient is φ = 2289524160.

The previous prime is 7566912107. The next prime is 7566912149. The reversal of 7566912144 is 4412196657.

The square root of 7566912144 is 86988.

It is a perfect power (a square), and thus also a powerful number.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 7566912144.

It is not an unprimeable number, because it can be changed into a prime (7566912149) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 11482087 + ... + 11482745.

Almost surely, 2^7566912144 is an apocalyptic number.

7566912144 is the 86988-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7566912144

7566912144 is an abundant number, since it is smaller than the sum of its proper divisors (15745490515).

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

7566912144 is a wasteful number, since it uses less digits than its factorization.

7566912144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1354 (or 675 counting only the distinct ones).

The product of its digits is 362880, while the sum is 45.

The cubic root of 7566912144 is about 1963.2377542093.

The spelling of 7566912144 in words is "seven billion, five hundred sixty-six million, nine hundred twelve thousand, one hundred forty-four".