12784136064 has 192 divisors, whose sum is σ = 39600316800. Its totient is φ = 3643530240.

The previous prime is 12784136039. The next prime is 12784136081. The reversal of 12784136064 is 46063148721.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 12399229 + ... + 12400259.

It is an arithmetic number, because the mean of its divisors is an integer number (206251650).

Almost surely, 2^12784136064 is an apocalyptic number.

12784136064 is a gapful number since it is divisible by the number (14) 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 12784136064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19800158400).

12784136064 is an abundant number, since it is smaller than the sum of its proper divisors (26816180736).

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

12784136064 is a wasteful number, since it uses less digits than its factorization.

12784136064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1721 (or 1702 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 42.

The spelling of 12784136064 in words is "twelve billion, seven hundred eighty-four million, one hundred thirty-six thousand, sixty-four".