12684902400 has 720 divisors, whose sum is σ = 49407393280. Its totient is φ = 3185049600.

The previous prime is 12684902357. The next prime is 12684902401. The reversal of 12684902400 is 420948621.

12684902400 is a `hidden beast` number, since 126 + 8 + 490 + 2 + 40 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

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

It is not an unprimeable number, because it can be changed into a prime (12684902401) 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, 342835182 + ... + 342835218.

Almost surely, 2^12684902400 is an apocalyptic number.

12684902400 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 12684902400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24703696640).

12684902400 is an abundant number, since it is smaller than the sum of its proper divisors (36722490880).

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

12684902400 is an equidigital number, since it uses as much as digits as its factorization.

12684902400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 115 (or 78 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The spelling of 12684902400 in words is "twelve billion, six hundred eighty-four million, nine hundred two thousand, four hundred".