12402638277768 has 192 divisors, whose sum is σ = 36609241032000. Its totient is φ = 3778301044224.

The previous prime is 12402638277761. The next prime is 12402638277851. The reversal of 12402638277768 is 86777283620421.

12402638277768 is a `hidden beast` number, since 1 + 2 + 40 + 263 + 8 + 277 + 7 + 68 = 666.

12402638277768 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×12402638277768² (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (12402638277761) 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, 46004130 + ... + 46272942.

It is an arithmetic number, because the mean of its divisors is an integer number (190673130375).

Almost surely, 2^{12402638277768} is an apocalyptic number.

12402638277768 is a gapful number since it is divisible by the number (18) 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 12402638277768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18304620516000).

12402638277768 is an abundant number, since it is smaller than the sum of its proper divisors (24206602754232).

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

12402638277768 is a wasteful number, since it uses less digits than its factorization.

12402638277768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 270036 (or 270029 counting only the distinct ones).

The product of its (nonzero) digits is 75866112, while the sum is 63.

The spelling of 12402638277768 in words is "twelve trillion, four hundred two billion, six hundred thirty-eight million, two hundred seventy-seven thousand, seven hundred sixty-eight".