663886080 has 648 divisors, whose sum is σ = 2800901376. Its totient is φ = 143769600.

The previous prime is 663886061. The next prime is 663886081. The reversal of 663886080 is 80688366.

663886080 is a `hidden beast` number, since 6 + 6 + 38 + 8 + 608 + 0 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (663886081) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 21415665 + ... + 21415695.

Almost surely, 2^663886080 is an apocalyptic number.

663886080 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 663886080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1400450688).

663886080 is an abundant number, since it is smaller than the sum of its proper divisors (2137015296).

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

663886080 is a wasteful number, since it uses less digits than its factorization.

663886080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 95 (or 65 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 45.

The square root of 663886080 is about 25765.9868819341. The cubic root of 663886080 is about 872.3642391592.

The spelling of 663886080 in words is "six hundred sixty-three million, eight hundred eighty-six thousand, eighty".