63725794560 has 324 divisors, whose sum is σ = 230509735092. Its totient is φ = 16253140992.

The previous prime is 63725794519. The next prime is 63725794571. The reversal of 63725794560 is 6549752736.

63725794560 is a `hidden beast` number, since 6 + 3 + 7 + 2 + 5 + 79 + 4 + 560 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 42166158336 + 21559636224 = 205344^2 + 146832^2 .

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 63725794497 and 63725794506.

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 35 ways as a sum of consecutive naturals, for example, 6088852 + ... + 6099308.

Almost surely, 2^63725794560 is an apocalyptic number.

63725794560 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 63725794560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115254867546).

63725794560 is an abundant number, since it is smaller than the sum of its proper divisors (166783940532).

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

63725794560 is a wasteful number, since it uses less digits than its factorization.

63725794560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10530 (or 10490 counting only the distinct ones).

The product of its (nonzero) digits is 9525600, while the sum is 54.

The spelling of 63725794560 in words is "sixty-three billion, seven hundred twenty-five million, seven hundred ninety-four thousand, five hundred sixty".