68676166877184 has 720 divisors, whose sum is σ = 215291154078000. Its totient is φ = 21875260391424.

The previous prime is 68676166877173. The next prime is 68676166877323. The reversal of 68676166877184 is 48177866167686.

It is a Harshad number since it is a multiple of its sum of digits (81).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 67395649027 + ... + 67395650045.

It is an arithmetic number, because the mean of its divisors is an integer number (299015491775).

Almost surely, 2^{68676166877184} is an apocalyptic number.

68676166877184 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 68676166877184, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107645577039000).

68676166877184 is an abundant number, since it is smaller than the sum of its proper divisors (146614987200816).

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

68676166877184 is an frugal number, since it uses more digits than its factorization.

68676166877184 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1118 (or 1047 counting only the distinct ones).

The product of its digits is 5462360064, while the sum is 81.

The spelling of 68676166877184 in words is "sixty-eight trillion, six hundred seventy-six billion, one hundred sixty-six million, eight hundred seventy-seven thousand, one hundred eighty-four".