663586560 has 576 divisors, whose sum is σ = 2911964160. Its totient is φ = 139345920.

The previous prime is 663586543. The next prime is 663586579. The reversal of 663586560 is 65685366.

663586560 is a `hidden beast` number, since 6 + 6 + 3 + 5 + 86 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a super-2 number, since 2×663586560² = 880694245225267200, which contains 22 as substring.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3144855 + ... + 3145065.

Almost surely, 2^663586560 is an apocalyptic number.

663586560 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 663586560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1455982080).

663586560 is an abundant number, since it is smaller than the sum of its proper divisors (2248377600).

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

663586560 is a wasteful number, since it uses less digits than its factorization.

663586560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 261 (or 241 counting only the distinct ones).

The product of its (nonzero) digits is 777600, while the sum is 45.

The square root of 663586560 is about 25760.1739124564. The cubic root of 663586560 is about 872.2330269681.

The spelling of 663586560 in words is "six hundred sixty-three million, five hundred eighty-six thousand, five hundred sixty".