663042240 has 448 divisors, whose sum is σ = 2818790400. Its totient is φ = 143327232.

The previous prime is 663042227. The next prime is 663042253. The reversal of 663042240 is 42240366.

663042240 is a `hidden beast` number, since 6 + 630 + 4 + 2 + 24 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (663042227) and next prime (663042253).

It is a tau number, because it is divible by the number of its divisors (448).

It is a Harshad number since it is a multiple of its sum of digits (27).

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, 1148832 + ... + 1149408.

Almost surely, 2^663042240 is an apocalyptic number.

663042240 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 663042240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1409395200).

663042240 is an abundant number, since it is smaller than the sum of its proper divisors (2155748160).

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

663042240 is a wasteful number, since it uses less digits than its factorization.

663042240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 629 (or 613 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

The square root of 663042240 is about 25749.6065989366. The cubic root of 663042240 is about 871.9944729330.

The spelling of 663042240 in words is "six hundred sixty-three million, forty-two thousand, two hundred forty".