6432559104 has 208 divisors, whose sum is σ = 17805792384. Its totient is φ = 2064384000.

The previous prime is 6432559097. The next prime is 6432559123. The reversal of 6432559104 is 4019552346.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 63688654 + ... + 63688754.

Almost surely, 2^6432559104 is an apocalyptic number.

6432559104 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 6432559104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8902896192).

6432559104 is an abundant number, since it is smaller than the sum of its proper divisors (11373233280).

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

6432559104 is a wasteful number, since it uses less digits than its factorization.

6432559104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 272 (or 250 counting only the distinct ones).

The product of its (nonzero) digits is 129600, while the sum is 39.

The square root of 6432559104 is about 80203.2362439322. The cubic root of 6432559104 is about 1859.7786671539.

The spelling of 6432559104 in words is "six billion, four hundred thirty-two million, five hundred fifty-nine thousand, one hundred four".