67568042336256 has 2688 divisors, whose sum is σ = 263142758301696. Its totient is φ = 16819609927680.

The previous prime is 67568042336227. The next prime is 67568042336261. The reversal of 67568042336256 is 65263324086576.

67568042336256 is a `hidden beast` number, since 6 + 7 + 5 + 6 + 8 + 0 + 42 + 336 + 256 = 666.

It is a tau number, because it is divible by the number of its divisors (2688).

It is a super-3 number, since 3×67568042336256³ (a number of 42 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a junction number, because it is equal to n+sod(n) for n = 67568042336193 and 67568042336202.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 597947277256 + ... + 597947277368.

It is an arithmetic number, because the mean of its divisors is an integer number (97895371392).

Almost surely, 2^{67568042336256} is an apocalyptic number.

67568042336256 is a gapful number since it is divisible by the number (66) 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 67568042336256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131571379150848).

67568042336256 is an abundant number, since it is smaller than the sum of its proper divisors (195574715965440).

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

67568042336256 is a wasteful number, since it uses less digits than its factorization.

67568042336256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 302 (or 266 counting only the distinct ones).

The product of its (nonzero) digits is 261273600, while the sum is 63.

The spelling of 67568042336256 in words is "sixty-seven trillion, five hundred sixty-eight billion, forty-two million, three hundred thirty-six thousand, two hundred fifty-six".