7587659687661 has 48 divisors (see below), whose sum is σ = 11329303265280. Its totient is φ = 4888430676000.

The previous prime is 7587659687659. The next prime is 7587659687711. The reversal of 7587659687661 is 1667869567857.

It is not a de Polignac number, because 7587659687661 - 2¹ = 7587659687659 is a prime.

It is a super-3 number, since 3×7587659687661³ (a number of 40 digits) contains 333 as substring.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7587659687611) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 958154860 + ... + 958162778.

It is an arithmetic number, because the mean of its divisors is an integer number (236027151360).

Almost surely, 2^{7587659687661} is an apocalyptic number.

It is an amenable number.

7587659687661 is a deficient number, since it is larger than the sum of its proper divisors (3741643577619).

7587659687661 is a wasteful number, since it uses less digits than its factorization.

7587659687661 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12318 (or 12315 counting only the distinct ones).

The product of its digits is 6401203200, while the sum is 81.

The spelling of 7587659687661 in words is "seven trillion, five hundred eighty-seven billion, six hundred fifty-nine million, six hundred eighty-seven thousand, six hundred sixty-one".