68683664587104 has 240 divisors, whose sum is σ = 234766201824000. Its totient is φ = 19291295321856.

The previous prime is 68683664587093. The next prime is 68683664587151. The reversal of 68683664587104 is 40178546638686.

68683664587104 is a `hidden beast` number, since 6 + 8 + 6 + 8 + 3 + 66 + 458 + 7 + 104 = 666.

It is a super-2 number, since 2×68683664587104² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 31009804 + ... + 33150795.

It is an arithmetic number, because the mean of its divisors is an integer number (978192507600).

Almost surely, 2^{68683664587104} is an apocalyptic number.

It is an amenable number.

68683664587104 is an abundant number, since it is smaller than the sum of its proper divisors (166082537236896).

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

68683664587104 is a wasteful number, since it uses less digits than its factorization.

68683664587104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 64160687 (or 64160670 counting only the distinct ones).

The product of its (nonzero) digits is 1114767360, while the sum is 72.

The spelling of 68683664587104 in words is "sixty-eight trillion, six hundred eighty-three billion, six hundred sixty-four million, five hundred eighty-seven thousand, one hundred four".