6563646872640 has 2688 divisors, whose sum is σ = 29613849108480. Its totient is φ = 1359817113600.

The previous prime is 6563646872597. The next prime is 6563646872677. The reversal of 6563646872640 is 462786463656.

6563646872640 is a `hidden beast` number, since 6 + 5 + 6 + 364 + 6 + 8 + 7 + 264 + 0 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 9929873910 + ... + 9929874570.

It is an arithmetic number, because the mean of its divisors is an integer number (11017056960).

Almost surely, 2^{6563646872640} is an apocalyptic number.

6563646872640 is a gapful number since it is divisible by the number (60) 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 6563646872640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14806924554240).

6563646872640 is an abundant number, since it is smaller than the sum of its proper divisors (23050202235840).

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

6563646872640 is a wasteful number, since it uses less digits than its factorization.

6563646872640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 783 (or 761 counting only the distinct ones).

The product of its (nonzero) digits is 209018880, while the sum is 63.

The spelling of 6563646872640 in words is "six trillion, five hundred sixty-three billion, six hundred forty-six million, eight hundred seventy-two thousand, six hundred forty".