6438180096 has 216 divisors, whose sum is σ = 19868415840. Its totient is φ = 1998950400.

The previous prime is 6438180029. The next prime is 6438180131. The reversal of 6438180096 is 6900818346.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2669131 + ... + 2671541.

Almost surely, 2^6438180096 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 6438180096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9934207920).

6438180096 is an abundant number, since it is smaller than the sum of its proper divisors (13430235744).

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

6438180096 is a wasteful number, since it uses less digits than its factorization.

6438180096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2513 (or 2496 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The square root of 6438180096 is about 80238.2707690040. The cubic root of 6438180096 is about 1860.3202223553.

The spelling of 6438180096 in words is "six billion, four hundred thirty-eight million, one hundred eighty thousand, ninety-six".