6563936880072 has 384 divisors, whose sum is σ = 21593894044800. Its totient is φ = 1835144087040.

The previous prime is 6563936880049. The next prime is 6563936880079. The reversal of 6563936880072 is 2700886393656.

6563936880072 is a `hidden beast` number, since 6 + 563 + 9 + 3 + 68 + 8 + 0 + 0 + 7 + 2 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 6563936879991 and 6563936880009.

It is not an unprimeable number, because it can be changed into a prime (6563936880079) 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 95 ways as a sum of consecutive naturals, for example, 950327643 + ... + 950334549.

It is an arithmetic number, because the mean of its divisors is an integer number (56234099075).

Almost surely, 2^{6563936880072} 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 6563936880072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10796947022400).

6563936880072 is an abundant number, since it is smaller than the sum of its proper divisors (15029957164728).

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

6563936880072 is a wasteful number, since it uses less digits than its factorization.

6563936880072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9754 (or 9733 counting only the distinct ones).

The product of its (nonzero) digits is 78382080, while the sum is 63.

The spelling of 6563936880072 in words is "six trillion, five hundred sixty-three billion, nine hundred thirty-six million, eight hundred eighty thousand, seventy-two".