6635608740096 has 288 divisors, whose sum is σ = 21380198531328. Its totient is φ = 1783560929280.

The previous prime is 6635608740041. The next prime is 6635608740139. The reversal of 6635608740096 is 6900478065366.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 218685886 + ... + 218716226.

It is an arithmetic number, because the mean of its divisors is an integer number (74236800456).

Almost surely, 2^{6635608740096} 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 6635608740096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10690099265664).

6635608740096 is an abundant number, since it is smaller than the sum of its proper divisors (14744589791232).

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

6635608740096 is a wasteful number, since it uses less digits than its factorization.

6635608740096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32777 (or 32763 counting only the distinct ones).

The product of its (nonzero) digits is 39191040, while the sum is 60.

The spelling of 6635608740096 in words is "six trillion, six hundred thirty-five billion, six hundred eight million, seven hundred forty thousand, ninety-six".