4663561980960 has 288 divisors, whose sum is σ = 16048278005760. Its totient is φ = 1233165717504.

The previous prime is 4663561980919. The next prime is 4663561981009. The reversal of 4663561980960 is 690891653664.

4663561980960 is a `hidden beast` number, since 4 + 6 + 6 + 3 + 5 + 619 + 8 + 0 + 9 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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 47 ways as a sum of consecutive naturals, for example, 410194156 + ... + 410205524.

It is an arithmetic number, because the mean of its divisors is an integer number (55723187520).

Almost surely, 2^{4663561980960} is an apocalyptic number.

4663561980960 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 4663561980960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8024139002880).

4663561980960 is an abundant number, since it is smaller than the sum of its proper divisors (11384716024800).

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

4663561980960 is a wasteful number, since it uses less digits than its factorization.

4663561980960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13760 (or 13749 counting only the distinct ones).

The product of its (nonzero) digits is 50388480, while the sum is 63.

The spelling of 4663561980960 in words is "four trillion, six hundred sixty-three billion, five hundred sixty-one million, nine hundred eighty thousand, nine hundred sixty".