12764484000 has 288 divisors, whose sum is σ = 47968227216. Its totient is φ = 3203481600.

The previous prime is 12764483999. The next prime is 12764484011. The reversal of 12764484000 is 48446721.

12764484000 is a `hidden beast` number, since 1 + 2 + 7 + 644 + 8 + 4 + 0 + 0 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 4601722896 + 8162761104 = 67836^2 + 90348^2 .

It is a tau number, because it is divible by the number of its divisors (288).

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 47 ways as a sum of consecutive naturals, for example, 601572 + ... + 622428.

Almost surely, 2^12764484000 is an apocalyptic number.

12764484000 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 12764484000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23984113608).

12764484000 is an abundant number, since it is smaller than the sum of its proper divisors (35203743216).

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

12764484000 is a wasteful number, since it uses less digits than its factorization.

12764484000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20905 (or 20884 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 36.

The spelling of 12764484000 in words is "twelve billion, seven hundred sixty-four million, four hundred eighty-four thousand".