63613440 has 240 divisors, whose sum is σ = 241297056. Its totient is φ = 15360000.

The previous prime is 63613399. The next prime is 63613453. The reversal of 63613440 is 4431636.

63613440 is a `hidden beast` number, since 6 + 3 + 613 + 4 + 40 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 253315 + ... + 253565.

Almost surely, 2^63613440 is an apocalyptic number.

63613440 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 63613440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120648528).

63613440 is an abundant number, since it is smaller than the sum of its proper divisors (177683616).

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

63613440 is a wasteful number, since it uses less digits than its factorization.

63613440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 291 (or 272 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

The square root of 63613440 is about 7975.8034078079. The cubic root of 63613440 is about 399.1930397995.

It can be divided in two parts, 6361 and 3440, that added together give a square (9801 = 99²).

The spelling of 63613440 in words is "sixty-three million, six hundred thirteen thousand, four hundred forty".