68727263908800 has 336 divisors, whose sum is σ = 258374493013760. Its totient is φ = 15667637207040.

The previous prime is 68727263908777. The next prime is 68727263908819. The reversal of 68727263908800 is 880936272786.

It is a tau number, because it is divible by the number of its divisors (336).

It is a congruent number.

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, 10035912 + ... + 15432888.

Almost surely, 2^{68727263908800} is an apocalyptic number.

68727263908800 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 68727263908800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129187246506880).

68727263908800 is an abundant number, since it is smaller than the sum of its proper divisors (189647229104960).

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

68727263908800 is a wasteful number, since it uses less digits than its factorization.

68727263908800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5397388 (or 5397373 counting only the distinct ones).

The product of its (nonzero) digits is 97542144, while the sum is 66.

The spelling of 68727263908800 in words is "sixty-eight trillion, seven hundred twenty-seven billion, two hundred sixty-three million, nine hundred eight thousand, eight hundred".