12746613600 has 1728 divisors, whose sum is σ = 61421068800. Its totient is φ = 2508226560.

The previous prime is 12746613577. The next prime is 12746613631. The reversal of 12746613600 is 631664721.

It is a happy number.

12746613600 is a `hidden beast` number, since 1 + 2 + 7 + 46 + 6 + 1 + 3 + 600 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 439538386 + ... + 439538414.

It is an arithmetic number, because the mean of its divisors is an integer number (35544600).

Almost surely, 2^12746613600 is an apocalyptic number.

12746613600 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 12746613600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30710534400).

12746613600 is an abundant number, since it is smaller than the sum of its proper divisors (48674455200).

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

12746613600 is a wasteful number, since it uses less digits than its factorization.

12746613600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 107 (or 82 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The spelling of 12746613600 in words is "twelve billion, seven hundred forty-six million, six hundred thirteen thousand, six hundred".