4068574272 has 504 divisors, whose sum is σ = 14861377440. Its totient is φ = 1097349120.

The previous prime is 4068574271. The next prime is 4068574277. The reversal of 4068574272 is 2724758604.

It is a happy number.

4068574272 is a `hidden beast` number, since 4 + 0 + 6 + 8 + 574 + 2 + 72 = 666.

It is a tau number, because it is divible by the number of its divisors (504).

It is not an unprimeable number, because it can be changed into a prime (4068574271) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 14478772 + ... + 14479052.

It is an arithmetic number, because the mean of its divisors is an integer number (29486860).

Almost surely, 2^4068574272 is an apocalyptic number.

4068574272 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 4068574272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7430688720).

4068574272 is an abundant number, since it is smaller than the sum of its proper divisors (10792803168).

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

4068574272 is a wasteful number, since it uses less digits than its factorization.

4068574272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 341 (or 312 counting only the distinct ones).

The product of its (nonzero) digits is 752640, while the sum is 45.

The square root of 4068574272 is about 63785.3766313251. The cubic root of 4068574272 is about 1596.4209415994.

The spelling of 4068574272 in words is "four billion, sixty-eight million, five hundred seventy-four thousand, two hundred seventy-two".