4067775360 has 768 divisors, whose sum is σ = 16803072000. Its totient is φ = 895795200.

The previous prime is 4067775359. The next prime is 4067775373. The reversal of 4067775360 is 635777604.

4067775360 is a `hidden beast` number, since 40 + 6 + 7 + 77 + 536 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 37318986 + ... + 37319094.

It is an arithmetic number, because the mean of its divisors is an integer number (21879000).

Almost surely, 2^4067775360 is an apocalyptic number.

4067775360 is a gapful number since it is divisible by the number (40) 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 4067775360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8401536000).

4067775360 is an abundant number, since it is smaller than the sum of its proper divisors (12735296640).

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

4067775360 is a wasteful number, since it uses less digits than its factorization.

4067775360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 195 (or 180 counting only the distinct ones).

The product of its (nonzero) digits is 740880, while the sum is 45.

The square root of 4067775360 is about 63779.1138226301. The cubic root of 4067775360 is about 1596.3164428036.

The spelling of 4067775360 in words is "four billion, sixty-seven million, seven hundred seventy-five thousand, three hundred sixty".