6238381968 has 320 divisors, whose sum is σ = 22754099200. Its totient is φ = 1591902720.

The previous prime is 6238381943. The next prime is 6238381991. The reversal of 6238381968 is 8691838326.

It is a happy number.

6238381968 is a `hidden beast` number, since 623 + 8 + 3 + 8 + 1 + 9 + 6 + 8 = 666.

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

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1216113 + ... + 1221231.

It is an arithmetic number, because the mean of its divisors is an integer number (71106560).

Almost surely, 2^6238381968 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 6238381968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11377049600).

6238381968 is an abundant number, since it is smaller than the sum of its proper divisors (16515717232).

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

6238381968 is a wasteful number, since it uses less digits than its factorization.

6238381968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5187 (or 5175 counting only the distinct ones).

The product of its digits is 2985984, while the sum is 54.

The square root of 6238381968 is about 78983.4284391353. The cubic root of 6238381968 is about 1840.8736761442.

The spelling of 6238381968 in words is "six billion, two hundred thirty-eight million, three hundred eighty-one thousand, nine hundred sixty-eight".