3679563663360 has 768 divisors, whose sum is σ = 14827464288000. Its totient is φ = 858052362240.

The previous prime is 3679563663331. The next prime is 3679563663361. The reversal of 3679563663360 is 633663659763.

3679563663360 is a `hidden beast` number, since 3 + 6 + 7 + 9 + 563 + 6 + 6 + 3 + 3 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (768).

It is not an unprimeable number, because it can be changed into a prime (3679563663361) 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, 68263620 + ... + 68317500.

It is an arithmetic number, because the mean of its divisors is an integer number (19306594125).

Almost surely, 2^{3679563663360} is an apocalyptic number.

3679563663360 is a gapful number since it is divisible by the number (30) 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 3679563663360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7413732144000).

3679563663360 is an abundant number, since it is smaller than the sum of its proper divisors (11147900624640).

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

3679563663360 is a wasteful number, since it uses less digits than its factorization.

3679563663360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53949 (or 53923 counting only the distinct ones).

The product of its (nonzero) digits is 198404640, while the sum is 63.

The spelling of 3679563663360 in words is "three trillion, six hundred seventy-nine billion, five hundred sixty-three million, six hundred sixty-three thousand, three hundred sixty".