12766428432 has 240 divisors, whose sum is σ = 37841197056. Its totient is φ = 4012416000.

The previous prime is 12766428419. The next prime is 12766428481. The reversal of 12766428432 is 23482466721.

It is a happy number.

12766428432 is a `hidden beast` number, since 127 + 66 + 428 + 43 + 2 = 666.

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, 47108457 + ... + 47108727.

Almost surely, 2^12766428432 is an apocalyptic number.

12766428432 is a gapful number since it is divisible by the number (12) 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 12766428432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18920598528).

12766428432 is an abundant number, since it is smaller than the sum of its proper divisors (25074768624).

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

12766428432 is a wasteful number, since it uses less digits than its factorization.

12766428432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 550 (or 541 counting only the distinct ones).

The product of its digits is 774144, while the sum is 45.

The spelling of 12766428432 in words is "twelve billion, seven hundred sixty-six million, four hundred twenty-eight thousand, four hundred thirty-two".