12636738576 has 810 divisors, whose sum is σ = 48888398286. Its totient is φ = 3033676800.

The previous prime is 12636738473. The next prime is 12636738581. The reversal of 12636738576 is 67583763621.

12636738576 is a `hidden beast` number, since 1 + 2 + 6 + 3 + 67 + 3 + 8 + 576 = 666.

It can be written as a sum of positive squares in only one way, i.e., 7705328400 + 4931410176 = 87780^2 + 70224^2 .

It is a super-3 number, since 3×12636738576³ (a number of 31 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 161 ways as a sum of consecutive naturals, for example, 308213116 + ... + 308213156.

Almost surely, 2^12636738576 is an apocalyptic number.

12636738576 is a gapful number since it is divisible by the number (16) 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 12636738576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24444199143).

12636738576 is an abundant number, since it is smaller than the sum of its proper divisors (36251659710).

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

12636738576 is a wasteful number, since it uses less digits than its factorization.

12636738576 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 129 (or 83 counting only the distinct ones).

The product of its digits is 7620480, while the sum is 54.

The spelling of 12636738576 in words is "twelve billion, six hundred thirty-six million, seven hundred thirty-eight thousand, five hundred seventy-six".