4000206717648 has 60 divisors (see below), whose sum is σ = 11198393256960. Its totient is φ = 1333000815168.

The previous prime is 4000206717631. The next prime is 4000206717709. The reversal of 4000206717648 is 8467176020004.

4000206717648 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 an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3701328 + ... + 4658351.

It is an arithmetic number, because the mean of its divisors is an integer number (186639887616).

Almost surely, 2^{4000206717648} is an apocalyptic number.

4000206717648 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

4000206717648 is an abundant number, since it is smaller than the sum of its proper divisors (7198186539312).

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

4000206717648 is a wasteful number, since it uses less digits than its factorization.

4000206717648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8363016 (or 8363007 counting only the distinct ones).

The product of its (nonzero) digits is 451584, while the sum is 45.

The spelling of 4000206717648 in words is "four trillion, two hundred six million, seven hundred seventeen thousand, six hundred forty-eight".