663396480 has 320 divisors, whose sum is σ = 2417057280. Its totient is φ = 173352960.

The previous prime is 663396467. The next prime is 663396511. The reversal of 663396480 is 84693366.

663396480 is a `hidden beast` number, since 6 + 633 + 9 + 6 + 4 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (320).

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 39 ways as a sum of consecutive naturals, for example, 3473185 + ... + 3473375.

It is an arithmetic number, because the mean of its divisors is an integer number (7553304).

Almost surely, 2^663396480 is an apocalyptic number.

663396480 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 663396480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1208528640).

663396480 is an abundant number, since it is smaller than the sum of its proper divisors (1753660800).

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

663396480 is a wasteful number, since it uses less digits than its factorization.

663396480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 289 (or 268 counting only the distinct ones).

The product of its (nonzero) digits is 559872, while the sum is 45.

The square root of 663396480 is about 25756.4842321308. The cubic root of 663396480 is about 872.1497372129.

The spelling of 663396480 in words is "six hundred sixty-three million, three hundred ninety-six thousand, four hundred eighty".