4006488672 has 36 divisors (see below), whose sum is σ = 11393452980. Its totient is φ = 1335496128.

The previous prime is 4006488671. The next prime is 4006488697. The reversal of 4006488672 is 2768846004.

4006488672 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 (36).

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4006488671) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 6955422 + ... + 6955997.

It is an arithmetic number, because the mean of its divisors is an integer number (316484805).

Almost surely, 2^4006488672 is an apocalyptic number.

It is an amenable number.

4006488672 is an abundant number, since it is smaller than the sum of its proper divisors (7386964308).

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

4006488672 is a wasteful number, since it uses less digits than its factorization.

4006488672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13911435 (or 13911424 counting only the distinct ones).

The product of its (nonzero) digits is 516096, while the sum is 45.

The square root of 4006488672 is about 63296.8298732251. The cubic root of 4006488672 is about 1588.2589319900.

The spelling of 4006488672 in words is "four billion, six million, four hundred eighty-eight thousand, six hundred seventy-two".