12641684400 has 270 divisors, whose sum is σ = 44434052988. Its totient is φ = 3328300800.

The previous prime is 12641684389. The next prime is 12641684413. The reversal of 12641684400 is 448614621.

It is a happy number.

12641684400 is a `hidden beast` number, since 1 + 2 + 641 + 6 + 8 + 4 + 4 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 38192235 + ... + 38192565.

Almost surely, 2^12641684400 is an apocalyptic number.

12641684400 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 12641684400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22217026494).

12641684400 is an abundant number, since it is smaller than the sum of its proper divisors (31792368588).

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

12641684400 is a wasteful number, since it uses less digits than its factorization.

12641684400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 561 (or 444 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The spelling of 12641684400 in words is "twelve billion, six hundred forty-one million, six hundred eighty-four thousand, four hundred".