4083748704 has 192 divisors, whose sum is σ = 14413593600. Its totient is φ = 1098123264.

The previous prime is 4083748667. The next prime is 4083748741. The reversal of 4083748704 is 4078473804.

4083748704 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (4083748667) and next prime (4083748741).

It is a self number, because there is not a number n which added to its sum of digits gives 4083748704.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 82957 + ... + 122675.

It is an arithmetic number, because the mean of its divisors is an integer number (75070800).

Almost surely, 2^4083748704 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 4083748704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7206796800).

4083748704 is an abundant number, since it is smaller than the sum of its proper divisors (10329844896).

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

4083748704 is a wasteful number, since it uses less digits than its factorization.

4083748704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39762 (or 39748 counting only the distinct ones).

The product of its (nonzero) digits is 602112, while the sum is 45.

The square root of 4083748704 is about 63904.2150722470. The cubic root of 4083748704 is about 1598.4031860626.

The spelling of 4083748704 in words is "four billion, eighty-three million, seven hundred forty-eight thousand, seven hundred four".