68048323200 has 1728 divisors, whose sum is σ = 303303087360. Its totient is φ = 14376960000.

The previous prime is 68048323199. The next prime is 68048323261. The reversal of 68048323200 is 232384086.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a zygodrome in base 4.

It is an unprimeable number.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 1659715180 + ... + 1659715220.

It is an arithmetic number, because the mean of its divisors is an integer number (175522620).

Almost surely, 2^68048323200 is an apocalyptic number.

68048323200 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 68048323200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151651543680).

68048323200 is an abundant number, since it is smaller than the sum of its proper divisors (235254764160).

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

68048323200 is a wasteful number, since it uses less digits than its factorization.

68048323200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 139 (or 106 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The spelling of 68048323200 in words is "sixty-eight billion, forty-eight million, three hundred twenty-three thousand, two hundred".