4285766016 has 192 divisors, whose sum is σ = 14229146880. Its totient is φ = 1212816384.

The previous prime is 4285765997. The next prime is 4285766047. The reversal of 4285766016 is 6106675824.

4285766016 is a `hidden beast` number, since 4 + 2 + 8 + 576 + 60 + 16 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 860365 + ... + 865331.

It is an arithmetic number, because the mean of its divisors is an integer number (74110140).

Almost surely, 2^4285766016 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4285766016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7114573440).

4285766016 is an abundant number, since it is smaller than the sum of its proper divisors (9943380864).

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

4285766016 is a wasteful number, since it uses less digits than its factorization.

4285766016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5101 (or 5086 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The square root of 4285766016 is about 65465.7621661888. The cubic root of 4285766016 is about 1624.3370570428.

The spelling of 4285766016 in words is "four billion, two hundred eighty-five million, seven hundred sixty-six thousand, sixteen".