67826367082656 has 2688 divisors, whose sum is σ = 272338424709120. Its totient is φ = 16121249980416.

The previous prime is 67826367082613. The next prime is 67826367082667. The reversal of 67826367082656 is 65628076362876.

67826367082656 is a `hidden beast` number, since 67 + 82 + 6 + 367 + 0 + 82 + 6 + 56 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

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 447 ways as a sum of consecutive naturals, for example, 70141020285 + ... + 70141021251.

It is an arithmetic number, because the mean of its divisors is an integer number (101316378240).

Almost surely, 2^{67826367082656} 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 67826367082656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136169212354560).

67826367082656 is an abundant number, since it is smaller than the sum of its proper divisors (204512057626464).

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

67826367082656 is a wasteful number, since it uses less digits than its factorization.

67826367082656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1118 (or 1095 counting only the distinct ones).

The product of its (nonzero) digits is 1463132160, while the sum is 72.

The spelling of 67826367082656 in words is "sixty-seven trillion, eight hundred twenty-six billion, three hundred sixty-seven million, eighty-two thousand, six hundred fifty-six".