7672565565 has 128 divisors (see below), whose sum is σ = 16191651840. Its totient is φ = 3373228800.

The previous prime is 7672565519. The next prime is 7672565603. The reversal of 7672565565 is 5655652767.

It is a happy number.

7672565565 is a `hidden beast` number, since 7 + 6 + 72 + 5 + 6 + 5 + 565 = 666.

It is not a de Polignac number, because 7672565565 - 2⁷ = 7672565437 is a prime.

Its product of digits (13230000) is a multiple of the sum of its prime factors (1680).

It is a congruent number.

It is an unprimeable number.

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 127 ways as a sum of consecutive naturals, for example, 5301672 + ... + 5303118.

It is an arithmetic number, because the mean of its divisors is an integer number (126497280).

Almost surely, 2^7672565565 is an apocalyptic number.

It is an amenable number.

7672565565 is an abundant number, since it is smaller than the sum of its proper divisors (8519086275).

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

7672565565 is a wasteful number, since it uses less digits than its factorization.

7672565565 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1680 (or 1674 counting only the distinct ones).

The product of its digits is 13230000, while the sum is 54.

The square root of 7672565565 is about 87593.1821833184. The cubic root of 7672565565 is about 1972.3328256880.

The spelling of 7672565565 in words is "seven billion, six hundred seventy-two million, five hundred sixty-five thousand, five hundred sixty-five".