63766440 has 80 divisors (see below), whose sum is σ = 214336980. Its totient is φ = 17003520.

The previous prime is 63766427. The next prime is 63766441. The reversal of 63766440 is 4466736.

63766440 is a `hidden beast` number, since 6 + 3 + 7 + 6 + 644 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 59629284 + 4137156 = 7722^2 + 2034^2 .

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 = 63766395 and 63766404.

It is not an unprimeable number, because it can be changed into a prime (63766441) 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 19 ways as a sum of consecutive naturals, for example, 6601 + ... + 13080.

Almost surely, 2^63766440 is an apocalyptic number.

63766440 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

63766440 is an abundant number, since it is smaller than the sum of its proper divisors (150570540).

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

63766440 is a wasteful number, since it uses less digits than its factorization.

63766440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19704 (or 19691 counting only the distinct ones).

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

The square root of 63766440 is about 7985.3891577055. The cubic root of 63766440 is about 399.5128235553.

The spelling of 63766440 in words is "sixty-three million, seven hundred sixty-six thousand, four hundred forty".