6414221664 has 36 divisors (see below), whose sum is σ = 18240443676. Its totient is φ = 2138073792.

The previous prime is 6414221659. The next prime is 6414221689. The reversal of 6414221664 is 4661224146.

6414221664 is a `hidden beast` number, since 641 + 4 + 2 + 2 + 1 + 6 + 6 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×6414221664² = 82284479109853857792, which contains 22 as substring.

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

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 11135514 + ... + 11136089.

It is an arithmetic number, because the mean of its divisors is an integer number (506678991).

Almost surely, 2^6414221664 is an apocalyptic number.

It is an amenable number.

6414221664 is an abundant number, since it is smaller than the sum of its proper divisors (11826222012).

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

6414221664 is a wasteful number, since it uses less digits than its factorization.

6414221664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22271619 (or 22271608 counting only the distinct ones).

The product of its digits is 55296, while the sum is 36.

The square root of 6414221664 is about 80088.8360759476. The cubic root of 6414221664 is about 1858.0097476511.

The spelling of 6414221664 in words is "six billion, four hundred fourteen million, two hundred twenty-one thousand, six hundred sixty-four".