6420351168 has 448 divisors, whose sum is σ = 23890467840. Its totient is φ = 1642291200.

The previous prime is 6420351167. The next prime is 6420351187. The reversal of 6420351168 is 8611530246.

It is a happy number.

6420351168 is a `hidden beast` number, since 64 + 20 + 3 + 511 + 68 = 666.

It is a tau number, because it is divible by the number of its divisors (448).

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

It is not an unprimeable number, because it can be changed into a prime (6420351163) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 9712758 + ... + 9713418.

Almost surely, 2^6420351168 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6420351168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11945233920).

6420351168 is an abundant number, since it is smaller than the sum of its proper divisors (17470116672).

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

6420351168 is a wasteful number, since it uses less digits than its factorization.

6420351168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 773 (or 757 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 6420351168 is about 80127.0938447165. The cubic root of 6420351168 is about 1858.6014043885.

The spelling of 6420351168 in words is "six billion, four hundred twenty million, three hundred fifty-one thousand, one hundred sixty-eight".