4067668752 has 120 divisors (see below), whose sum is σ = 12247939296. Its totient is φ = 1159893504.

The previous prime is 4067668733. The next prime is 4067668757. The reversal of 4067668752 is 2578667604.

4067668752 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 4067668695 and 4067668704.

It is not an unprimeable number, because it can be changed into a prime (4067668757) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1449783 + ... + 1452585.

Almost surely, 2^4067668752 is an apocalyptic number.

4067668752 is a gapful number since it is divisible by the number (42) 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 4067668752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6123969648).

4067668752 is an abundant number, since it is smaller than the sum of its proper divisors (8180270544).

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

4067668752 is a wasteful number, since it uses less digits than its factorization.

4067668752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3445 (or 3432 counting only the distinct ones).

The product of its (nonzero) digits is 3386880, while the sum is 51.

The square root of 4067668752 is about 63778.2780576585. The cubic root of 4067668752 is about 1596.3024972949.

The spelling of 4067668752 in words is "four billion, sixty-seven million, six hundred sixty-eight thousand, seven hundred fifty-two".