4227078960 has 600 divisors, whose sum is σ = 16806580560. Its totient is φ = 978656256.

The previous prime is 4227078937. The next prime is 4227079033. The reversal of 4227078960 is 698707224.

4227078960 is a `hidden beast` number, since 422 + 70 + 78 + 96 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 30410571 + ... + 30410709.

Almost surely, 2^4227078960 is an apocalyptic number.

4227078960 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 4227078960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8403290280).

4227078960 is an abundant number, since it is smaller than the sum of its proper divisors (12579501600).

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

4227078960 is a wasteful number, since it uses less digits than its factorization.

4227078960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 215 (or 181 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 45.

The square root of 4227078960 is about 65015.9900332218. The cubic root of 4227078960 is about 1616.8886785242. Note that the first 3 decimals are identical.

The spelling of 4227078960 in words is "four billion, two hundred twenty-seven million, seventy-eight thousand, nine hundred sixty".