4067527968 has 192 divisors, whose sum is σ = 13789440000. Its totient is φ = 1142353152.

The previous prime is 4067527951. The next prime is 4067527969. The reversal of 4067527968 is 8697257604.

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

It is not an unprimeable number, because it can be changed into a prime (4067527969) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 351133 + ... + 362531.

It is an arithmetic number, because the mean of its divisors is an integer number (71820000).

Almost surely, 2^4067527968 is an apocalyptic number.

4067527968 is a gapful number since it is divisible by the number (48) 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 4067527968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6894720000).

4067527968 is an abundant number, since it is smaller than the sum of its proper divisors (9721912032).

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

4067527968 is a wasteful number, since it uses less digits than its factorization.

4067527968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11484 (or 11470 counting only the distinct ones).

The product of its (nonzero) digits is 5080320, while the sum is 54.

The square root of 4067527968 is about 63777.1743494489. The cubic root of 4067527968 is about 1596.2840808130.

The spelling of 4067527968 in words is "four billion, sixty-seven million, five hundred twenty-seven thousand, nine hundred sixty-eight".