63763840 has 128 divisors (see below), whose sum is σ = 178801920. Its totient is φ = 21288960.

The previous prime is 63763831. The next prime is 63763841. The reversal of 63763840 is 4836736.

It is a happy number.

63763840 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (128).

It is a self number, because there is not a number n which added to its sum of digits gives 63763840.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (63763841) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 192475 + ... + 192805.

It is an arithmetic number, because the mean of its divisors is an integer number (1396890).

Almost surely, 2^63763840 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 63763840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89400960).

63763840 is an abundant number, since it is smaller than the sum of its proper divisors (115038080).

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

63763840 is a wasteful number, since it uses less digits than its factorization.

63763840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 400 (or 388 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 37.

The square root of 63763840 is about 7985.2263587202. The cubic root of 63763840 is about 399.5073935964.

The spelling of 63763840 in words is "sixty-three million, seven hundred sixty-three thousand, eight hundred forty".