663762240 has 168 divisors, whose sum is σ = 2345146440. Its totient is φ = 172191744.

The previous prime is 663762227. The next prime is 663762259. The reversal of 663762240 is 42267366.

It is a happy number.

663762240 is a `hidden beast` number, since 66 + 376 + 224 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 182574144 + 481188096 = 13512^2 + 21936^2 .

It is a super-2 number, since 2×663762240² = 881160622499635200, which contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 663762195 and 663762204.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 103446 + ... + 109674.

It is an arithmetic number, because the mean of its divisors is an integer number (13959205).

Almost surely, 2^663762240 is an apocalyptic number.

663762240 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 663762240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1172573220).

663762240 is an abundant number, since it is smaller than the sum of its proper divisors (1681384200).

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

663762240 is a wasteful number, since it uses less digits than its factorization.

663762240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6289 (or 6276 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 36.

The square root of 663762240 is about 25763.5836016654. The cubic root of 663762240 is about 872.3099927512.

The spelling of 663762240 in words is "six hundred sixty-three million, seven hundred sixty-two thousand, two hundred forty".