126678682944 has 672 divisors, whose sum is σ = 438106596480. Its totient is φ = 35741122560.

The previous prime is 126678682877. The next prime is 126678682951. The reversal of 126678682944 is 449286876621.

126678682944 is a `hidden beast` number, since 1 + 266 + 7 + 86 + 8 + 294 + 4 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 558055759 + ... + 558055985.

It is an arithmetic number, because the mean of its divisors is an integer number (651944340).

Almost surely, 2^126678682944 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 126678682944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (219053298240).

126678682944 is an abundant number, since it is smaller than the sum of its proper divisors (311427913536).

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

126678682944 is a wasteful number, since it uses less digits than its factorization.

126678682944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 444 (or 417 counting only the distinct ones).

The product of its digits is 55738368, while the sum is 63.

The spelling of 126678682944 in words is "one hundred twenty-six billion, six hundred seventy-eight million, six hundred eighty-two thousand, nine hundred forty-four".