67044427632 has 480 divisors, whose sum is σ = 240178405376. Its totient is φ = 16982784000.

The previous prime is 67044427631. The next prime is 67044427643. The reversal of 67044427632 is 23672444076.

67044427632 is a `hidden beast` number, since 6 + 7 + 0 + 4 + 4 + 4 + 2 + 7 + 632 = 666.

67044427632 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (67044427631) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 61339278 + ... + 61340370.

Almost surely, 2^67044427632 is an apocalyptic number.

67044427632 is a gapful number since it is divisible by the number (62) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 67044427632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120089202688).

67044427632 is an abundant number, since it is smaller than the sum of its proper divisors (173133977744).

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

67044427632 is a wasteful number, since it uses less digits than its factorization.

67044427632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1309 (or 1300 counting only the distinct ones).

The product of its (nonzero) digits is 1354752, while the sum is 45.

The spelling of 67044427632 in words is "sixty-seven billion, forty-four million, four hundred twenty-seven thousand, six hundred thirty-two".