3648563143680 has 2112 divisors, whose sum is σ = 15777002078208. Its totient is φ = 711221575680.

The previous prime is 3648563143651. The next prime is 3648563143699. The reversal of 3648563143680 is 863413658463.

It is a self number, because there is not a number n which added to its sum of digits gives 3648563143680.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 6976219899 + ... + 6976220421.

Almost surely, 2^{3648563143680} is an apocalyptic number.

3648563143680 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 3648563143680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7888501039104).

3648563143680 is an abundant number, since it is smaller than the sum of its proper divisors (12128438934528).

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

3648563143680 is a wasteful number, since it uses less digits than its factorization.

3648563143680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 632 (or 607 counting only the distinct ones).

The product of its (nonzero) digits is 29859840, while the sum is 57.

The spelling of 3648563143680 in words is "three trillion, six hundred forty-eight billion, five hundred sixty-three million, one hundred forty-three thousand, six hundred eighty".