6005153664 has 48 divisors (see below), whose sum is σ = 17280458520. Its totient is φ = 2001717504.

The previous prime is 6005153663. The next prime is 6005153717. The reversal of 6005153664 is 4663515006.

6005153664 is a `hidden beast` number, since 60 + 0 + 5 + 1 + 536 + 64 = 666.

It is a tau number, because it is divible by the number of its divisors (48).

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 (6005153663) 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 5 ways as a sum of consecutive naturals, for example, 2605252 + ... + 2607555.

Almost surely, 2^6005153664 is an apocalyptic number.

6005153664 is a gapful number since it is divisible by the number (64) formed by its first and last digit.

It is an amenable number.

6005153664 is an abundant number, since it is smaller than the sum of its proper divisors (11275304856).

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

6005153664 is a wasteful number, since it uses less digits than its factorization.

6005153664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5212827 (or 5212812 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 36.

The square root of 6005153664 is about 77492.9265417173. The cubic root of 6005153664 is about 1817.6407122196.

The spelling of 6005153664 in words is "six billion, five million, one hundred fifty-three thousand, six hundred sixty-four".