67838645200 has 120 divisors (see below), whose sum is σ = 164138923008. Its totient is φ = 26943651840.

The previous prime is 67838645179. The next prime is 67838645219. The reversal of 67838645200 is 254683876.

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 39371539 + ... + 39373261.

Almost surely, 2^67838645200 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 67838645200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82069461504).

67838645200 is an abundant number, since it is smaller than the sum of its proper divisors (96300277808).

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

67838645200 is a wasteful number, since it uses less digits than its factorization.

67838645200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2381 (or 2370 counting only the distinct ones).

The product of its (nonzero) digits is 1935360, while the sum is 49.

The spelling of 67838645200 in words is "sixty-seven billion, eight hundred thirty-eight million, six hundred forty-five thousand, two hundred".