6403642164 has 48 divisors (see below), whose sum is σ = 16608883200. Its totient is φ = 2133667008.

The previous prime is 6403642159. The next prime is 6403642169. The reversal of 6403642164 is 4612463046.

6403642164 is a `hidden beast` number, since 6 + 4 + 0 + 3 + 642 + 1 + 6 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (6403642159) and next prime (6403642169).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6403642169) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 283869 + ... + 305595.

It is an arithmetic number, because the mean of its divisors is an integer number (346018400).

Almost surely, 2^6403642164 is an apocalyptic number.

It is an amenable number.

6403642164 is an abundant number, since it is smaller than the sum of its proper divisors (10205241036).

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

6403642164 is a wasteful number, since it uses less digits than its factorization.

6403642164 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24469 (or 24461 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 36.

The square root of 6403642164 is about 80022.7602873083. The cubic root of 6403642164 is about 1856.9876630675.

The spelling of 6403642164 in words is "six billion, four hundred three million, six hundred forty-two thousand, one hundred sixty-four".