126463960896768 has 576 divisors, whose sum is σ = 415045430553600. Its totient is φ = 37658662871040.

The previous prime is 126463960896739. The next prime is 126463960896857. The reversal of 126463960896768 is 867698069364621.

126463960896768 is a `hidden beast` number, since 1 + 2 + 6 + 463 + 9 + 6 + 0 + 8 + 96 + 7 + 68 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 22371120630 + ... + 22371126282.

It is an arithmetic number, because the mean of its divisors is an integer number (720564983600).

Almost surely, 2^{126463960896768} is an apocalyptic number.

126463960896768 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 126463960896768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (207522715276800).

126463960896768 is an abundant number, since it is smaller than the sum of its proper divisors (288581469656832).

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

126463960896768 is a wasteful number, since it uses less digits than its factorization.

126463960896768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10735 (or 10715 counting only the distinct ones).

The product of its (nonzero) digits is 6772211712, while the sum is 81.

The spelling of 126463960896768 in words is "one hundred twenty-six trillion, four hundred sixty-three billion, nine hundred sixty million, eight hundred ninety-six thousand, seven hundred sixty-eight".