68662068056064 has 1248 divisors, whose sum is σ = 238987514787840. Its totient is φ = 19292992045056.

The previous prime is 68662068056059. The next prime is 68662068056089. The reversal of 68662068056064 is 46065086026686.

68662068056064 is a `hidden beast` number, since 6 + 8 + 6 + 6 + 2 + 0 + 6 + 8 + 0 + 560 + 64 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a junction number, because it is equal to n+sod(n) for n = 68662068055992 and 68662068056010.

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 95 ways as a sum of consecutive naturals, for example, 191259242317 + ... + 191259242675.

It is an arithmetic number, because the mean of its divisors is an integer number (191496406080).

Almost surely, 2^{68662068056064} is an apocalyptic number.

68662068056064 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 68662068056064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119493757393920).

68662068056064 is an abundant number, since it is smaller than the sum of its proper divisors (170325446731776).

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

68662068056064 is an equidigital number, since it uses as much as digits as its factorization.

68662068056064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 785 (or 751 counting only the distinct ones).

The product of its (nonzero) digits is 119439360, while the sum is 63.

The spelling of 68662068056064 in words is "sixty-eight trillion, six hundred sixty-two billion, sixty-eight million, fifty-six thousand, sixty-four".