4416648196680 has 256 divisors, whose sum is σ = 15070707590400. Its totient is φ = 1149911562240.

The previous prime is 4416648196673. The next prime is 4416648196687. The reversal of 4416648196680 is 866918466144.

4416648196680 is a `hidden beast` number, since 4 + 4 + 1 + 6 + 6 + 481 + 96 + 68 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (4416648196673) and next prime (4416648196687).

It is not an unprimeable number, because it can be changed into a prime (4416648196687) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 121515310 + ... + 121551650.

It is an arithmetic number, because the mean of its divisors is an integer number (58869951525).

Almost surely, 2^{4416648196680} is an apocalyptic number.

4416648196680 is a gapful number since it is divisible by the number (40) 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 4416648196680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7535353795200).

4416648196680 is an abundant number, since it is smaller than the sum of its proper divisors (10654059393720).

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

4416648196680 is a wasteful number, since it uses less digits than its factorization.

4416648196680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39021 (or 39011 counting only the distinct ones).

The product of its (nonzero) digits is 47775744, while the sum is 63.

The spelling of 4416648196680 in words is "four trillion, four hundred sixteen billion, six hundred forty-eight million, one hundred ninety-six thousand, six hundred eighty".