4285977696 has 288 divisors, whose sum is σ = 16365742848. Its totient is φ = 1027537920.

The previous prime is 4285977677. The next prime is 4285977701. The reversal of 4285977696 is 6967795824.

4285977696 is a `hidden beast` number, since 428 + 59 + 7 + 76 + 96 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 280855 + ... + 295721.

It is an arithmetic number, because the mean of its divisors is an integer number (56825496).

Almost surely, 2^4285977696 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 4285977696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8182871424).

4285977696 is an abundant number, since it is smaller than the sum of its proper divisors (12079765152).

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

4285977696 is a wasteful number, since it uses less digits than its factorization.

4285977696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14914 (or 14903 counting only the distinct ones).

The product of its digits is 45722880, while the sum is 63.

The square root of 4285977696 is about 65467.3788691742. The cubic root of 4285977696 is about 1624.3637993651.

The spelling of 4285977696 in words is "four billion, two hundred eighty-five million, nine hundred seventy-seven thousand, six hundred ninety-six".