67997432160 has 576 divisors, whose sum is σ = 275474908800. Its totient is φ = 14944075776.

The previous prime is 67997432141. The next prime is 67997432221. The reversal of 67997432160 is 6123479976.

It is a happy number.

67997432160 is a `hidden beast` number, since 67 + 9 + 97 + 432 + 1 + 60 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 67997432097 and 67997432106.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 133589986 + ... + 133590494.

It is an arithmetic number, because the mean of its divisors is an integer number (478255050).

Almost surely, 2^67997432160 is an apocalyptic number.

67997432160 is a gapful number since it is divisible by the number (60) 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 67997432160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137737454400).

67997432160 is an abundant number, since it is smaller than the sum of its proper divisors (207477476640).

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

67997432160 is a wasteful number, since it uses less digits than its factorization.

67997432160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1023 (or 1012 counting only the distinct ones).

The product of its (nonzero) digits is 3429216, while the sum is 54.

The spelling of 67997432160 in words is "sixty-seven billion, nine hundred ninety-seven million, four hundred thirty-two thousand, one hundred sixty".