12727764000 has 576 divisors, whose sum is σ = 54678903552. Its totient is φ = 2737152000.

The previous prime is 12727763999. The next prime is 12727764013. The reversal of 12727764000 is 46772721.

It is a happy number.

12727764000 is a `hidden beast` number, since 1 + 2 + 7 + 2 + 7 + 7 + 640 + 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 pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4282515 + ... + 4285485.

It is an arithmetic number, because the mean of its divisors is an integer number (94928652).

Almost surely, 2^12727764000 is an apocalyptic number.

12727764000 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 12727764000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27339451776).

12727764000 is an abundant number, since it is smaller than the sum of its proper divisors (41951139552).

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

12727764000 is a wasteful number, since it uses less digits than its factorization.

12727764000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3026 (or 3005 counting only the distinct ones).

The product of its (nonzero) digits is 32928, while the sum is 36.

The spelling of 12727764000 in words is "twelve billion, seven hundred twenty-seven million, seven hundred sixty-four thousand".