63688567680 has 1024 divisors, whose sum is σ = 249155481600. Its totient is φ = 15328051200.

The previous prime is 63688567669. The next prime is 63688567687. The reversal of 63688567680 is 8676588636.

63688567680 is a `hidden beast` number, since 6 + 3 + 6 + 8 + 8 + 567 + 68 + 0 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (63688567687) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 897022045 + ... + 897022115.

It is an arithmetic number, because the mean of its divisors is an integer number (243315900).

Almost surely, 2^63688567680 is an apocalyptic number.

63688567680 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 63688567680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124577740800).

63688567680 is an abundant number, since it is smaller than the sum of its proper divisors (185466913920).

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

63688567680 is a wasteful number, since it uses less digits than its factorization.

63688567680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 220 (or 202 counting only the distinct ones).

The product of its (nonzero) digits is 69672960, while the sum is 63.

The spelling of 63688567680 in words is "sixty-three billion, six hundred eighty-eight million, five hundred sixty-seven thousand, six hundred eighty".