4006842664 has 64 divisors (see below), whose sum is σ = 8646912000. Its totient is φ = 1721488320.

The previous prime is 4006842649. The next prime is 4006842689. The reversal of 4006842664 is 4662486004.

4006842664 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 798387 + ... + 803389.

It is an arithmetic number, because the mean of its divisors is an integer number (135108000).

Almost surely, 2^4006842664 is an apocalyptic number.

4006842664 is a gapful number since it is divisible by the number (44) 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 4006842664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4323456000).

4006842664 is an abundant number, since it is smaller than the sum of its proper divisors (4640069336).

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

4006842664 is a wasteful number, since it uses less digits than its factorization.

4006842664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5518 (or 5514 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 40.

The square root of 4006842664 is about 63299.6260968420. The cubic root of 4006842664 is about 1588.3057073124.

The spelling of 4006842664 in words is "four billion, six million, eight hundred forty-two thousand, six hundred sixty-four".