68514686064000 has 1536 divisors, whose sum is σ = 282410220193920. Its totient is φ = 15765995520000.

The previous prime is 68514686063983. The next prime is 68514686064017. The reversal of 68514686064000 is 46068641586.

68514686064000 is a `hidden beast` number, since 6 + 8 + 514 + 6 + 8 + 60 + 64 + 0 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (68514686063983) and next prime (68514686064017).

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, 2402913744 + ... + 2402942256.

Almost surely, 2^{68514686064000} is an apocalyptic number.

68514686064000 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 68514686064000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141205110096960).

68514686064000 is an abundant number, since it is smaller than the sum of its proper divisors (213895534129920).

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

68514686064000 is a wasteful number, since it uses less digits than its factorization.

68514686064000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28637 (or 28612 counting only the distinct ones).

The product of its (nonzero) digits is 6635520, while the sum is 54.

The spelling of 68514686064000 in words is "sixty-eight trillion, five hundred fourteen billion, six hundred eighty-six million, sixty-four thousand".