4001764005 has 48 divisors (see below), whose sum is σ = 7181291520. Its totient is φ = 2060169984.

The previous prime is 4001764001. The next prime is 4001764057. The reversal of 4001764005 is 5004671004.

4001764005 is a `hidden beast` number, since 4 + 0 + 0 + 17 + 640 + 0 + 5 = 666.

It is not a de Polignac number, because 4001764005 - 2² = 4001764001 is a prime.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 4001764005.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4001764001) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 141436 + ... + 167354.

It is an arithmetic number, because the mean of its divisors is an integer number (149610240).

Almost surely, 2^4001764005 is an apocalyptic number.

4001764005 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

4001764005 is a deficient number, since it is larger than the sum of its proper divisors (3179527515).

4001764005 is a wasteful number, since it uses less digits than its factorization.

4001764005 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26050 (or 26047 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The square root of 4001764005 is about 63259.4973502003. The cubic root of 4001764005 is about 1587.6343662903.

The spelling of 4001764005 in words is "four billion, one million, seven hundred sixty-four thousand, five".