12807740736 has 336 divisors, whose sum is σ = 44415862400. Its totient is φ = 3659354496.

The previous prime is 12807740731. The next prime is 12807740747. The reversal of 12807740736 is 63704770821.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It is a tau number, because it is divible by the number of its divisors (336).

It is a junction number, because it is equal to n+sod(n) for n = 12807740691 and 12807740700.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12807740731) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1829677245 + ... + 1829677251.

Almost surely, 2^12807740736 is an apocalyptic number.

12807740736 is a gapful number since it is divisible by the number (16) 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 12807740736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22207931200).

12807740736 is an abundant number, since it is smaller than the sum of its proper divisors (31608121664).

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

12807740736 is an frugal number, since it uses more digits than its factorization.

12807740736 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 76 (or 12 counting only the distinct ones).

The product of its (nonzero) digits is 395136, while the sum is 45.

The spelling of 12807740736 in words is "twelve billion, eight hundred seven million, seven hundred forty thousand, seven hundred thirty-six".