663324480 has 336 divisors, whose sum is σ = 2809183104. Its totient is φ = 139898880.

The previous prime is 663324451. The next prime is 663324481. The reversal of 663324480 is 84423366.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (336).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (663324481) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 260815 + ... + 263345.

It is an arithmetic number, because the mean of its divisors is an integer number (8360664).

Almost surely, 2^663324480 is an apocalyptic number.

663324480 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 663324480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1404591552).

663324480 is an abundant number, since it is smaller than the sum of its proper divisors (2145858624).

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

663324480 is a wasteful number, since it uses less digits than its factorization.

663324480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2574 (or 2561 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 36.

The square root of 663324480 is about 25755.0864879154. The cubic root of 663324480 is about 872.1181839086.

It can be divided in two parts, 6633 and 24480, that added together give a palindrome (31113).

The spelling of 663324480 in words is "six hundred sixty-three million, three hundred twenty-four thousand, four hundred eighty".