6563166704640 has 3168 divisors, whose sum is σ = 30864638488320. Its totient is φ = 1300264648704.

The previous prime is 6563166704639. The next prime is 6563166704719. The reversal of 6563166704640 is 464076613656.

6563166704640 is a `hidden beast` number, since 6 + 56 + 3 + 1 + 66 + 70 + 464 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

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 287 ways as a sum of consecutive naturals, for example, 58081121224 + ... + 58081121336.

Almost surely, 2^{6563166704640} is an apocalyptic number.

6563166704640 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 6563166704640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15432319244160).

6563166704640 is an abundant number, since it is smaller than the sum of its proper divisors (24301471783680).

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

6563166704640 is a wasteful number, since it uses less digits than its factorization.

6563166704640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 201 (or 162 counting only the distinct ones).

The product of its (nonzero) digits is 13063680, while the sum is 54.

The spelling of 6563166704640 in words is "six trillion, five hundred sixty-three billion, one hundred sixty-six million, seven hundred four thousand, six hundred forty".