68247748800 has 1260 divisors, whose sum is σ = 318673346904. Its totient is φ = 14166835200.

The previous prime is 68247748771. The next prime is 68247748813. The reversal of 68247748800 is 884774286.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (1260).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 179 ways as a sum of consecutive naturals, for example, 69853912 + ... + 69854888.

Almost surely, 2^68247748800 is an apocalyptic number.

68247748800 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 68247748800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159336673452).

68247748800 is an abundant number, since it is smaller than the sum of its proper divisors (250425598104).

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

68247748800 is a wasteful number, since it uses less digits than its factorization.

68247748800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1036 (or 1005 counting only the distinct ones).

The product of its (nonzero) digits is 4816896, while the sum is 54.

The spelling of 68247748800 in words is "sixty-eight billion, two hundred forty-seven million, seven hundred forty-eight thousand, eight hundred".