6484144128 has 468 divisors, whose sum is σ = 22354549560. Its totient is φ = 1665269760.

The previous prime is 6484144091. The next prime is 6484144129. The reversal of 6484144128 is 8214414846.

It is a Harshad number since it is a multiple of its sum of digits (42).

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

It is a self number, because there is not a number n which added to its sum of digits gives 6484144128.

It is not an unprimeable number, because it can be changed into a prime (6484144129) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 72855508 + ... + 72855596.

Almost surely, 2^6484144128 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 6484144128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11177274780).

6484144128 is an abundant number, since it is smaller than the sum of its proper divisors (15870405432).

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

6484144128 is a wasteful number, since it uses less digits than its factorization.

6484144128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 152 (or 112 counting only the distinct ones).

The product of its digits is 196608, while the sum is 42.

The square root of 6484144128 is about 80524.1834978784. The cubic root of 6484144128 is about 1864.7368500290.

The spelling of 6484144128 in words is "six billion, four hundred eighty-four million, one hundred forty-four thousand, one hundred twenty-eight".