68067520136064 has 384 divisors, whose sum is σ = 200057149918080. Its totient is φ = 22210624880640.

The previous prime is 68067520136059. The next prime is 68067520136081. The reversal of 68067520136064 is 46063102576086.

68067520136064 is a `hidden beast` number, since 6 + 8 + 0 + 6 + 7 + 5 + 20 + 1 + 3 + 606 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a self number, because there is not a number n which added to its sum of digits gives 68067520136064.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4301800857 + ... + 4301816679.

It is an arithmetic number, because the mean of its divisors is an integer number (520982161245).

Almost surely, 2^{68067520136064} is an apocalyptic number.

68067520136064 is a gapful number since it is divisible by the number (64) 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 68067520136064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100028574959040).

68067520136064 is an abundant number, since it is smaller than the sum of its proper divisors (131989629782016).

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

68067520136064 is a wasteful number, since it uses less digits than its factorization.

68067520136064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16358 (or 16343 counting only the distinct ones).

The product of its (nonzero) digits is 8709120, while the sum is 54.

The spelling of 68067520136064 in words is "sixty-eight trillion, sixty-seven billion, five hundred twenty million, one hundred thirty-six thousand, sixty-four".