6436815168 has 224 divisors, whose sum is σ = 20096057344. Its totient is φ = 1780144128.

The previous prime is 6436815139. The next prime is 6436815181. The reversal of 6436815168 is 8615186346.

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a zygodrome in base 4.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7339146 + ... + 7340022.

Almost surely, 2^6436815168 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 6436815168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10048028672).

6436815168 is an abundant number, since it is smaller than the sum of its proper divisors (13659242176).

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

6436815168 is a wasteful number, since it uses less digits than its factorization.

6436815168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1069 (or 1059 counting only the distinct ones).

The product of its digits is 829440, while the sum is 48.

The square root of 6436815168 is about 80229.7648507086. The cubic root of 6436815168 is about 1860.1887471772.

The spelling of 6436815168 in words is "six billion, four hundred thirty-six million, eight hundred fifteen thousand, one hundred sixty-eight".