4099889664 has 240 divisors, whose sum is σ = 12902689800. Its totient is φ = 1245708288.

The previous prime is 4099889621. The next prime is 4099889671. The reversal of 4099889664 is 4669889904.

4099889664 is a `hidden beast` number, since 409 + 9 + 88 + 96 + 64 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1954347264 + 2145542400 = 44208^2 + 46320^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5331072 + ... + 5331840.

Almost surely, 2^4099889664 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 4099889664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6451344900).

4099889664 is an abundant number, since it is smaller than the sum of its proper divisors (8802800136).

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

4099889664 is a wasteful number, since it uses less digits than its factorization.

4099889664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 895 (or 876 counting only the distinct ones).

The product of its (nonzero) digits is 26873856, while the sum is 63.

The square root of 4099889664 is about 64030.3807891223. The cubic root of 4099889664 is about 1600.5063064334.

The spelling of 4099889664 in words is "four billion, ninety-nine million, eight hundred eighty-nine thousand, six hundred sixty-four".