4283653968 has 240 divisors, whose sum is σ = 13840632000. Its totient is φ = 1223147520.

The previous prime is 4283653963. The next prime is 4283653981. The reversal of 4283653968 is 8693563824.

4283653968 is a `hidden beast` number, since 42 + 8 + 3 + 6 + 539 + 68 = 666.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

Its product of digits (7464960) is a multiple of the sum of its prime factors (810).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4283653961) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9540208 + ... + 9540656.

It is an arithmetic number, because the mean of its divisors is an integer number (57669300).

Almost surely, 2^4283653968 is an apocalyptic number.

4283653968 is a gapful number since it is divisible by the number (48) 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 4283653968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6920316000).

4283653968 is an abundant number, since it is smaller than the sum of its proper divisors (9556978032).

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

4283653968 is a wasteful number, since it uses less digits than its factorization.

4283653968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 810 (or 801 counting only the distinct ones).

The product of its digits is 7464960, while the sum is 54.

The square root of 4283653968 is about 65449.6292426474. The cubic root of 4283653968 is about 1624.0701859222.

The spelling of 4283653968 in words is "four billion, two hundred eighty-three million, six hundred fifty-three thousand, nine hundred sixty-eight".