4006725684 has 72 divisors (see below), whose sum is σ = 10139986080. Its totient is φ = 1230832512.

The previous prime is 4006725677. The next prime is 4006725689. The reversal of 4006725684 is 4865276004.

4006725684 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4006725689) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1675962 + ... + 1678350.

It is an arithmetic number, because the mean of its divisors is an integer number (140833140).

Almost surely, 2^4006725684 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 4006725684, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5069993040).

4006725684 is an abundant number, since it is smaller than the sum of its proper divisors (6133260396).

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

4006725684 is a wasteful number, since it uses less digits than its factorization.

4006725684 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3249 (or 3234 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 42.

The square root of 4006725684 is about 63298.7020720014. The cubic root of 4006725684 is about 1588.2902502701.

The spelling of 4006725684 in words is "four billion, six million, seven hundred twenty-five thousand, six hundred eighty-four".