126786628464 has 80 divisors (see below), whose sum is σ = 330103872000. Its totient is φ = 41931571968.

The previous prime is 126786628457. The next prime is 126786628469. The reversal of 126786628464 is 464826687621.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 126786628398 and 126786628407.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (126786628469) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3410682 + ... + 3447654.

It is an arithmetic number, because the mean of its divisors is an integer number (4126298400).

Almost surely, 2^126786628464 is an apocalyptic number.

It is an amenable number.

126786628464 is an abundant number, since it is smaller than the sum of its proper divisors (203317243536).

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

126786628464 is a wasteful number, since it uses less digits than its factorization.

126786628464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37542 (or 37536 counting only the distinct ones).

The product of its digits is 37158912, while the sum is 60.

The spelling of 126786628464 in words is "one hundred twenty-six billion, seven hundred eighty-six million, six hundred twenty-eight thousand, four hundred sixty-four".