68352464812800 has 432 divisors, whose sum is σ = 257969503895040. Its totient is φ = 15613312696320.

The previous prime is 68352464812759. The next prime is 68352464812813. The reversal of 68352464812800 is 821846425386.

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, 208559461 + ... + 208886939.

Almost surely, 2^{68352464812800} is an apocalyptic number.

68352464812800 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 68352464812800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128984751947520).

68352464812800 is an abundant number, since it is smaller than the sum of its proper divisors (189617039082240).

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

68352464812800 is a wasteful number, since it uses less digits than its factorization.

68352464812800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 329068 (or 329049 counting only the distinct ones).

The product of its (nonzero) digits is 17694720, while the sum is 57.

The spelling of 68352464812800 in words is "sixty-eight trillion, three hundred fifty-two billion, four hundred sixty-four million, eight hundred twelve thousand, eight hundred".