663741360 has 240 divisors, whose sum is σ = 2350296000. Its totient is φ = 167540736.

The previous prime is 663741359. The next prime is 663741361. The reversal of 663741360 is 63147366.

It is a happy number.

663741360 is a `hidden beast` number, since 6 + 637 + 4 + 13 + 6 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (663741359) and next prime (663741361).

It is a tau number, because it is divible by the number of its divisors (240).

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

It is not an unprimeable number, because it can be changed into a prime (663741361) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 2467306 + ... + 2467574.

It is an arithmetic number, because the mean of its divisors is an integer number (9792900).

Almost surely, 2^663741360 is an apocalyptic number.

663741360 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 663741360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1175148000).

663741360 is an abundant number, since it is smaller than the sum of its proper divisors (1686554640).

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

663741360 is a wasteful number, since it uses less digits than its factorization.

663741360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 460 (or 451 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 36.

The square root of 663741360 is about 25763.1783753480. The cubic root of 663741360 is about 872.3008458898.

The spelling of 663741360 in words is "six hundred sixty-three million, seven hundred forty-one thousand, three hundred sixty".