4183380768 has 96 divisors (see below), whose sum is σ = 12575195136. Its totient is φ = 1192866048.

The previous prime is 4183380743. The next prime is 4183380871. The reversal of 4183380768 is 8670833814.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 345505 + ... + 357407.

It is an arithmetic number, because the mean of its divisors is an integer number (130991616).

Almost surely, 2^4183380768 is an apocalyptic number.

4183380768 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 4183380768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6287597568).

4183380768 is an abundant number, since it is smaller than the sum of its proper divisors (8391814368).

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

4183380768 is a wasteful number, since it uses less digits than its factorization.

4183380768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12446 (or 12438 counting only the distinct ones).

The product of its (nonzero) digits is 774144, while the sum is 48.

The square root of 4183380768 is about 64679.0597334253. The cubic root of 4183380768 is about 1611.2977420425.

The spelling of 4183380768 in words is "four billion, one hundred eighty-three million, three hundred eighty thousand, seven hundred sixty-eight".