68509921536000 has 3888 divisors, whose sum is σ = 310747015002060. Its totient is φ = 14473396224000.

The previous prime is 68509921535977. The next prime is 68509921536013. The reversal of 68509921536000 is 63512990586.

It is a happy number.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

68509921536000 is a `hidden beast` number, since 6 + 8 + 5 + 0 + 9 + 9 + 21 + 5 + 3 + 600 + 0 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 9626275685376 + 58883645850624 = 3102624^2 + 7673568^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 323 ways as a sum of consecutive naturals, for example, 1670973695980 + ... + 1670973696020.

Almost surely, 2^{68509921536000} is an apocalyptic number.

68509921536000 is a gapful number since it is divisible by the number (60) 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 68509921536000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155373507501030).

68509921536000 is an abundant number, since it is smaller than the sum of its proper divisors (242237093466060).

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

68509921536000 is a wasteful number, since it uses less digits than its factorization.

68509921536000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 177 (or 77 counting only the distinct ones).

The product of its (nonzero) digits is 3499200, while the sum is 54.

The spelling of 68509921536000 in words is "sixty-eight trillion, five hundred nine billion, nine hundred twenty-one million, five hundred thirty-six thousand".