4268793984 has 192 divisors, whose sum is σ = 14033845440. Its totient is φ = 1125715968.

The previous prime is 4268793983. The next prime is 4268794001. The reversal of 4268793984 is 4893978624.

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

It is a super-3 number, since 3×4268793984³ (a number of 30 digits) contains 333 as substring.

It is a Smith number, since the sum of its digits (60) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (4268793983) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 449574 + ... + 458970.

It is an arithmetic number, because the mean of its divisors is an integer number (73092945).

Almost surely, 2^4268793984 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 4268793984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7016922720).

4268793984 is an abundant number, since it is smaller than the sum of its proper divisors (9765051456).

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

4268793984 is a wasteful number, since it uses less digits than its factorization.

4268793984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9447 (or 9422 counting only the distinct ones).

The product of its digits is 20901888, while the sum is 60.

The square root of 4268793984 is about 65336.0083261902. The cubic root of 4268793984 is about 1622.1900451517.

The spelling of 4268793984 in words is "four billion, two hundred sixty-eight million, seven hundred ninety-three thousand, nine hundred eighty-four".