6401928609 has 64 divisors (see below), whose sum is σ = 10328064000. Its totient is φ = 3906040320.

The previous prime is 6401928521. The next prime is 6401928613. The reversal of 6401928609 is 9068291046.

It is a happy number.

6401928609 is a `hidden beast` number, since 6 + 4 + 0 + 19 + 28 + 609 = 666.

It is not a de Polignac number, because 6401928609 - 2¹¹ = 6401926561 is a prime.

It is not an unprimeable number, because it can be changed into a prime (6401928679) 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 63 ways as a sum of consecutive naturals, for example, 1903089 + ... + 1906449.

It is an arithmetic number, because the mean of its divisors is an integer number (161376000).

Almost surely, 2^6401928609 is an apocalyptic number.

It is an amenable number.

6401928609 is a deficient number, since it is larger than the sum of its proper divisors (3926135391).

6401928609 is a wasteful number, since it uses less digits than its factorization.

6401928609 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3515 (or 3509 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 45.

The square root of 6401928609 is about 80012.0528982978. The cubic root of 6401928609 is about 1856.8220107567.

The spelling of 6401928609 in words is "six billion, four hundred one million, nine hundred twenty-eight thousand, six hundred nine".