68586541968384 has 528 divisors, whose sum is σ = 231271730352000. Its totient is φ = 19356156887040.

The previous prime is 68586541968361. The next prime is 68586541968397. The reversal of 68586541968384 is 48386914568586.

68586541968384 is a `hidden beast` number, since 6 + 8 + 5 + 8 + 6 + 541 + 9 + 68 + 3 + 8 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (528).

It is a super-2 number, since 2×68586541968384² (a number of 28 digits) contains 22 as substring.

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, 113340732 + ... + 113944260.

Almost surely, 2^{68586541968384} is an apocalyptic number.

68586541968384 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 68586541968384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115635865176000).

68586541968384 is an abundant number, since it is smaller than the sum of its proper divisors (162685188383616).

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

68586541968384 is a wasteful number, since it uses less digits than its factorization.

68586541968384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 603644 (or 603623 counting only the distinct ones).

The product of its digits is 9555148800, while the sum is 81.

The spelling of 68586541968384 in words is "sixty-eight trillion, five hundred eighty-six billion, five hundred forty-one million, nine hundred sixty-eight thousand, three hundred eighty-four".