12836640960 has 672 divisors, whose sum is σ = 52722109440. Its totient is φ = 2825625600.

The previous prime is 12836640937. The next prime is 12836640961. The reversal of 12836640960 is 6904663821.

12836640960 is a `hidden beast` number, since 128 + 3 + 66 + 409 + 60 = 666.

It is a super-2 number, since 2×12836640960² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (12836640961) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 29240421 + ... + 29240859.

It is an arithmetic number, because the mean of its divisors is an integer number (78455520).

Almost surely, 2^12836640960 is an apocalyptic number.

12836640960 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12836640960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26361054720).

12836640960 is an abundant number, since it is smaller than the sum of its proper divisors (39885468480).

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

12836640960 is a wasteful number, since it uses less digits than its factorization.

12836640960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 557 (or 544 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 45.

It can be divided in two parts, 12836 and 640960, that added together give a triangular number (653796 = T₁₁₄₃).

The spelling of 12836640960 in words is "twelve billion, eight hundred thirty-six million, six hundred forty thousand, nine hundred sixty".