67332656160 has 1728 divisors, whose sum is σ = 321399187200. Its totient is φ = 13168189440.

The previous prime is 67332656107. The next prime is 67332656197. The reversal of 67332656160 is 6165623376.

67332656160 is a `hidden beast` number, since 6 + 7 + 3 + 3 + 26 + 5 + 616 + 0 = 666.

67332656160 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×67332656160³ (a number of 33 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 3960744472 + ... + 3960744488.

It is an arithmetic number, because the mean of its divisors is an integer number (185994900).

Almost surely, 2^67332656160 is an apocalyptic number.

67332656160 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 67332656160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160699593600).

67332656160 is an abundant number, since it is smaller than the sum of its proper divisors (254066531040).

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

67332656160 is an equidigital number, since it uses as much as digits as its factorization.

67332656160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 88 (or 45 counting only the distinct ones).

The product of its (nonzero) digits is 816480, while the sum is 45.

The spelling of 67332656160 in words is "sixty-seven billion, three hundred thirty-two million, six hundred fifty-six thousand, one hundred sixty".