6434313984 has 216 divisors, whose sum is σ = 21934654560. Its totient is φ = 1774854144.

The previous prime is 6434313973. The next prime is 6434314043. The reversal of 6434313984 is 4893134346.

6434313984 is a `hidden beast` number, since 6 + 434 + 3 + 139 + 84 = 666.

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

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 460834 + ... + 474590.

Almost surely, 2^6434313984 is an apocalyptic number.

6434313984 is a gapful number since it is divisible by the number (64) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6434313984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10967327280).

6434313984 is an abundant number, since it is smaller than the sum of its proper divisors (15500340576).

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

6434313984 is a wasteful number, since it uses less digits than its factorization.

6434313984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13815 (or 13798 counting only the distinct ones).

The product of its digits is 746496, while the sum is 45.

The square root of 6434313984 is about 80214.1757047967. The cubic root of 6434313984 is about 1859.9477751552.

The spelling of 6434313984 in words is "six billion, four hundred thirty-four million, three hundred thirteen thousand, nine hundred eighty-four".