67438573632 has 168 divisors, whose sum is σ = 195903433440. Its totient is φ = 22178856960.

The previous prime is 67438573613. The next prime is 67438573637. The reversal of 67438573632 is 23637583476.

67438573632 is a `hidden beast` number, since 6 + 7 + 4 + 3 + 8 + 573 + 63 + 2 = 666.

It is a super-2 number, since 2×67438573632² (a number of 22 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (67438573637) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 13504128 + ... + 13509120.

Almost surely, 2^67438573632 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 67438573632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97951716720).

67438573632 is an abundant number, since it is smaller than the sum of its proper divisors (128464859808).

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

67438573632 is a wasteful number, since it uses less digits than its factorization.

67438573632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5321 (or 5308 counting only the distinct ones).

The product of its digits is 15240960, while the sum is 54.

The spelling of 67438573632 in words is "sixty-seven billion, four hundred thirty-eight million, five hundred seventy-three thousand, six hundred thirty-two".