238380671636640 has 2304 divisors, whose sum is σ = 958385772288000. Its totient is φ = 55324411084800.

The previous prime is 238380671636633. The next prime is 238380671636641. The reversal of 238380671636640 is 46636176083832.

238380671636640 is a `hidden beast` number, since 2 + 38 + 380 + 6 + 7 + 163 + 6 + 64 + 0 = 666.

It is not an unprimeable number, because it can be changed into a prime (238380671636641) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 396640052340 + ... + 396640052940.

It is an arithmetic number, because the mean of its divisors is an integer number (415966047000).

Almost surely, 2^{238380671636640} is an apocalyptic number.

238380671636640 is a gapful number since it is divisible by the number (20) 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 238380671636640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (479192886144000).

238380671636640 is an abundant number, since it is smaller than the sum of its proper divisors (720005100651360).

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

238380671636640 is a wasteful number, since it uses less digits than its factorization.

238380671636640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 789 (or 726 counting only the distinct ones).

The product of its (nonzero) digits is 125411328, while the sum is 63.

The spelling of 238380671636640 in words is "two hundred thirty-eight trillion, three hundred eighty billion, six hundred seventy-one million, six hundred thirty-six thousand, six hundred forty".