6468017120 has 24 divisors (see below), whose sum is σ = 15280690824. Its totient is φ = 2587206784.

The previous prime is 6468017119. The next prime is 6468017147. The reversal of 6468017120 is 217108646.

It is a super-2 number, since 2×6468017120² = 83670490929226188800, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 20212394 + ... + 20212713.

It is an arithmetic number, because the mean of its divisors is an integer number (636695451).

Almost surely, 2^6468017120 is an apocalyptic number.

It is an amenable number.

6468017120 is an abundant number, since it is smaller than the sum of its proper divisors (8812673704).

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

6468017120 is a wasteful number, since it uses less digits than its factorization.

6468017120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40425122 (or 40425114 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 35.

The square root of 6468017120 is about 80423.9834875145. The cubic root of 6468017120 is about 1863.1896094745.

The spelling of 6468017120 in words is "six billion, four hundred sixty-eight million, seventeen thousand, one hundred twenty".