67838384250 has 256 divisors, whose sum is σ = 231557114880. Its totient is φ = 14313024000.

The previous prime is 67838384239. The next prime is 67838384269. The reversal of 67838384250 is 5248383876.

67838384250 is a `hidden beast` number, since 6 + 7 + 8 + 3 + 8 + 384 + 250 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 559030 + ... + 669470.

It is an arithmetic number, because the mean of its divisors is an integer number (904519980).

Almost surely, 2^67838384250 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 67838384250, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115778557440).

67838384250 is an abundant number, since it is smaller than the sum of its proper divisors (163718730630).

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

67838384250 is a wasteful number, since it uses less digits than its factorization.

67838384250 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 110487 (or 110471 counting only the distinct ones).

The product of its (nonzero) digits is 7741440, while the sum is 54.

The spelling of 67838384250 in words is "sixty-seven billion, eight hundred thirty-eight million, three hundred eighty-four thousand, two hundred fifty".