63724896 has 72 divisors (see below), whose sum is σ = 182407680. Its totient is φ = 21102336.

The previous prime is 63724883. The next prime is 63724901. The reversal of 63724896 is 69842736.

63724896 is a `hidden beast` number, since 637 + 2 + 4 + 8 + 9 + 6 = 666.

63724896 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 (72).

It is a congruent number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 49185 + ... + 50463.

It is an arithmetic number, because the mean of its divisors is an integer number (2533440).

Almost surely, 2^63724896 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 63724896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91203840).

63724896 is an abundant number, since it is smaller than the sum of its proper divisors (118682784).

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

63724896 is a wasteful number, since it uses less digits than its factorization.

63724896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1468 (or 1457 counting only the distinct ones).

The product of its digits is 435456, while the sum is 45.

The square root of 63724896 is about 7982.7874830788. The cubic root of 63724896 is about 399.4260434954.

It can be divided in two parts, 63724 and 896, that added together give a triangular number (64620 = T₃₅₉).

The spelling of 63724896 in words is "sixty-three million, seven hundred twenty-four thousand, eight hundred ninety-six".