4073686848 has 336 divisors, whose sum is σ = 14840931456. Its totient is φ = 1037537280.

The previous prime is 4073686847. The next prime is 4073686871. The reversal of 4073686848 is 8486863704.

4073686848 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (336).

It is a junction number, because it is equal to n+sod(n) for n = 4073686794 and 4073686803.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4073686847) 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, 2349790 + ... + 2351522.

Almost surely, 2^4073686848 is an apocalyptic number.

4073686848 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 4073686848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7420465728).

4073686848 is an abundant number, since it is smaller than the sum of its proper divisors (10767244608).

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

4073686848 is a wasteful number, since it uses less digits than its factorization.

4073686848 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1822 (or 1809 counting only the distinct ones).

The product of its (nonzero) digits is 6193152, while the sum is 54.

The square root of 4073686848 is about 63825.4404450138. The cubic root of 4073686848 is about 1597.0893499501.

The spelling of 4073686848 in words is "four billion, seventy-three million, six hundred eighty-six thousand, eight hundred forty-eight".