6405293664 has 144 divisors (see below), whose sum is σ = 22709756160. Its totient is φ = 1663706880.

The previous prime is 6405293663. The next prime is 6405293683. The reversal of 6405293664 is 4663925046.

6405293664 is a `hidden beast` number, since 64 + 0 + 529 + 3 + 6 + 64 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6405293663) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 122244 + ... + 166595.

It is an arithmetic number, because the mean of its divisors is an integer number (157706640).

Almost surely, 2^6405293664 is an apocalyptic number.

It is an amenable number.

6405293664 is an abundant number, since it is smaller than the sum of its proper divisors (16304462496).

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

6405293664 is a wasteful number, since it uses less digits than its factorization.

6405293664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 288873 (or 288862 counting only the distinct ones).

The product of its (nonzero) digits is 933120, while the sum is 45.

The square root of 6405293664 is about 80033.0785613049. The cubic root of 6405293664 is about 1857.1472884515.

The spelling of 6405293664 in words is "six billion, four hundred five million, two hundred ninety-three thousand, six hundred sixty-four".