4006775808 has 440 divisors, whose sum is σ = 14013139712. Its totient is φ = 1116758016.

The previous prime is 4006775797. The next prime is 4006775833. The reversal of 4006775808 is 8085776004.

4006775808 is a `hidden beast` number, since 4 + 0 + 0 + 67 + 7 + 580 + 8 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 38900685 + ... + 38900787.

Almost surely, 2^4006775808 is an apocalyptic number.

4006775808 is a gapful number since it is divisible by the number (48) 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 4006775808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7006569856).

4006775808 is an abundant number, since it is smaller than the sum of its proper divisors (10006363904).

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

4006775808 is a wasteful number, since it uses less digits than its factorization.

4006775808 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 209 (or 182 counting only the distinct ones).

The product of its (nonzero) digits is 376320, while the sum is 45.

The square root of 4006775808 is about 63299.0980030521. The cubic root of 4006775808 is about 1588.2968733945.

The spelling of 4006775808 in words is "four billion, six million, seven hundred seventy-five thousand, eight hundred eight".