68214024648000 has 2016 divisors, whose sum is σ = 319651045549056. Its totient is φ = 13716864000000.

The previous prime is 68214024647959. The next prime is 68214024648017. The reversal of 68214024648000 is 84642041286.

68214024648000 is a `hidden beast` number, since 6 + 8 + 2 + 140 + 24 + 6 + 480 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2016).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 1203019650 + ... + 1203076350.

Almost surely, 2^{68214024648000} is an apocalyptic number.

68214024648000 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 68214024648000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159825522774528).

68214024648000 is an abundant number, since it is smaller than the sum of its proper divisors (251437020901056).

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

68214024648000 is a wasteful number, since it uses less digits than its factorization.

68214024648000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56790 (or 56760 counting only the distinct ones).

The product of its (nonzero) digits is 589824, while the sum is 45.

Adding to 68214024648000 its reverse (84642041286), we get a palindrome (68298666689286).

The spelling of 68214024648000 in words is "sixty-eight trillion, two hundred fourteen billion, twenty-four million, six hundred forty-eight thousand".