67563468 has 144 divisors (see below), whose sum is σ = 208965120. Its totient is φ = 17978112.

The previous prime is 67563467. The next prime is 67563469. The reversal of 67563468 is 86436576.

67563468 is a `hidden beast` number, since 6 + 7 + 5 + 634 + 6 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (67563467) and next prime (67563469).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (67563467) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 493096 + ... + 493232.

Almost surely, 2^67563468 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 67563468, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104482560).

67563468 is an abundant number, since it is smaller than the sum of its proper divisors (141401652).

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

67563468 is a wasteful number, since it uses less digits than its factorization.

67563468 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 276 (or 271 counting only the distinct ones).

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

The square root of 67563468 is about 8219.6999945253. The cubic root of 67563468 is about 407.2902163333.

The spelling of 67563468 in words is "sixty-seven million, five hundred sixty-three thousand, four hundred sixty-eight".