12635641760 has 72 divisors (see below), whose sum is σ = 34725472740. Its totient is φ = 4332217344.

The previous prime is 12635641751. The next prime is 12635641769. The reversal of 12635641760 is 6714653621.

It is an interprime number because it is at equal distance from previous prime (12635641751) and next prime (12635641769).

It can be written as a sum of positive squares in 2 ways, for example, as 11808734224 + 826907536 = 108668^2 + 28756^2 .

It is a super-3 number, since 3×12635641760³ (a number of 31 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (12635641769) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 798005 + ... + 813684.

Almost surely, 2^12635641760 is an apocalyptic number.

12635641760 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12635641760 is an abundant number, since it is smaller than the sum of its proper divisors (22089830980).

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

12635641760 is a wasteful number, since it uses less digits than its factorization.

12635641760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1611718 (or 1611703 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 41.

The spelling of 12635641760 in words is "twelve billion, six hundred thirty-five million, six hundred forty-one thousand, seven hundred sixty".