12736846080 has 1152 divisors, whose sum is σ = 57925324800. Its totient is φ = 2579890176.

The previous prime is 12736846069. The next prime is 12736846141. The reversal of 12736846080 is 8064863721.

12736846080 is a `hidden beast` number, since 1 + 2 + 7 + 36 + 8 + 4 + 608 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a super-2 number, since 2×12736846080² (a number of 21 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 78140079 + ... + 78140241.

It is an arithmetic number, because the mean of its divisors is an integer number (50282400).

Almost surely, 2^12736846080 is an apocalyptic number.

12736846080 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 12736846080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28962662400).

12736846080 is an abundant number, since it is smaller than the sum of its proper divisors (45188478720).

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

12736846080 is a wasteful number, since it uses less digits than its factorization.

12736846080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 236 (or 216 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

The spelling of 12736846080 in words is "twelve billion, seven hundred thirty-six million, eight hundred forty-six thousand, eighty".