12746736000 has 768 divisors, whose sum is σ = 50042603520. Its totient is φ = 3096576000.

The previous prime is 12746735987. The next prime is 12746736019. The reversal of 12746736000 is 63764721.

12746736000 is a `hidden beast` number, since 1 + 2 + 7 + 46 + 7 + 3 + 600 + 0 = 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 95 ways as a sum of consecutive naturals, for example, 100367937 + ... + 100368063.

It is an arithmetic number, because the mean of its divisors is an integer number (65159640).

Almost surely, 2^12746736000 is an apocalyptic number.

12746736000 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 12746736000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25021301760).

12746736000 is an abundant number, since it is smaller than the sum of its proper divisors (37295867520).

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

12746736000 is a wasteful number, since it uses less digits than its factorization.

12746736000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 220 (or 195 counting only the distinct ones).

The product of its (nonzero) digits is 42336, while the sum is 36.

The spelling of 12746736000 in words is "twelve billion, seven hundred forty-six million, seven hundred thirty-six thousand".