4008006765 has 48 divisors (see below), whose sum is σ = 8233749888. Its totient is φ = 1832227776.

The previous prime is 4008006763. The next prime is 4008006767. The reversal of 4008006765 is 5676008004.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (4008006763) and next prime (4008006767).

It is not a de Polignac number, because 4008006765 - 2¹ = 4008006763 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4008006763) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 227122 + ... + 244131.

It is an arithmetic number, because the mean of its divisors is an integer number (171536456).

Almost surely, 2^4008006765 is an apocalyptic number.

4008006765 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

4008006765 is an abundant number, since it is smaller than the sum of its proper divisors (4225743123).

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

4008006765 is an equidigital number, since it uses as much as digits as its factorization.

4008006765 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 471280 (or 471268 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 4008006765 is about 63308.8205939741. The cubic root of 4008006765 is about 1588.4595083131.

The spelling of 4008006765 in words is "four billion, eight million, six thousand, seven hundred sixty-five".