67563648 has 96 divisors (see below), whose sum is σ = 196035840. Its totient is φ = 22334976.

The previous prime is 67563637. The next prime is 67563653. The reversal of 67563648 is 84636576.

67563648 is a `hidden beast` number, since 6 + 7 + 5 + 636 + 4 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 256765 + ... + 257027.

It is an arithmetic number, because the mean of its divisors is an integer number (2042040).

Almost surely, 2^67563648 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 67563648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98017920).

67563648 is an abundant number, since it is smaller than the sum of its proper divisors (128472192).

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

67563648 is a wasteful number, since it uses less digits than its factorization.

67563648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 506 (or 491 counting only the distinct ones).

The product of its digits is 725760, while the sum is 45.

The square root of 67563648 is about 8219.7109438228. The cubic root of 67563648 is about 407.2905780287.

It can be divided in two parts, 675636 and 48, that added together give a square (675684 = 822²).

The spelling of 67563648 in words is "sixty-seven million, five hundred sixty-three thousand, six hundred forty-eight".