6430596480 has 896 divisors, whose sum is σ = 28897171200. Its totient is φ = 1328762880.

The previous prime is 6430596461. The next prime is 6430596509. The reversal of 6430596480 is 846950346.

It is a Cunningham number, because it is equal to 80191²-1.

It is a tau number, because it is divible by the number of its divisors (896).

It is a Harshad number since it is a multiple of its sum of digits (45).

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 111 ways as a sum of consecutive naturals, for example, 35925031 + ... + 35925209.

Almost surely, 2^6430596480 is an apocalyptic number.

6430596480 is a gapful number since it is divisible by the number (60) 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 6430596480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14448585600).

6430596480 is an abundant number, since it is smaller than the sum of its proper divisors (22466574720).

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

6430596480 is a wasteful number, since it uses less digits than its factorization.

6430596480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 234 (or 207 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 45.

The square root of 6430596480 is about 80190.9999937649. Note that the first 5 decimals coincide. The cubic root of 6430596480 is about 1859.5895035841.

The spelling of 6430596480 in words is "six billion, four hundred thirty million, five hundred ninety-six thousand, four hundred eighty".