67663728 has 160 divisors (see below), whose sum is σ = 219628800. Its totient is φ = 19756800.

The previous prime is 67663711. The next prime is 67663741. The reversal of 67663728 is 82736676.

67663728 is a `hidden beast` number, since 6 + 7 + 6 + 637 + 2 + 8 = 666.

It is a super-3 number, since 3×67663728³ (a number of 24 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 137563 + ... + 138053.

It is an arithmetic number, because the mean of its divisors is an integer number (1372680).

Almost surely, 2^67663728 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 67663728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109814400).

67663728 is an abundant number, since it is smaller than the sum of its proper divisors (151965072).

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

67663728 is a wasteful number, since it uses less digits than its factorization.

67663728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 548 (or 536 counting only the distinct ones).

The product of its digits is 508032, while the sum is 45.

The square root of 67663728 is about 8225.7964963887. The cubic root of 67663728 is about 407.4915812430.

The spelling of 67663728 in words is "sixty-seven million, six hundred sixty-three thousand, seven hundred twenty-eight".