63444480 has 160 divisors (see below), whose sum is σ = 221557248. Its totient is φ = 15360000.

The previous prime is 63444467. The next prime is 63444481. The reversal of 63444480 is 8444436.

63444480 is a nontrivial binomial coefficient, being equal to C(11265, 2).

It is a tau number, because it is divible by the number of its divisors (160).

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (63444481) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 84105 + ... + 84855.

Almost surely, 2^63444480 is an apocalyptic number.

63444480 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

63444480 is the 11264-th triangular number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 63444480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110778624).

63444480 is an abundant number, since it is smaller than the sum of its proper divisors (158112768).

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

63444480 is a wasteful number, since it uses less digits than its factorization.

63444480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 788 (or 772 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 33.

The square root of 63444480 is about 7965.2043288292. The cubic root of 63444480 is about 398.8393018741.

The spelling of 63444480 in words is "sixty-three million, four hundred forty-four thousand, four hundred eighty".