67008028560 has 480 divisors, whose sum is σ = 235993395456. Its totient is φ = 15706521600.

The previous prime is 67008028553. The next prime is 67008028561. The reversal of 67008028560 is 6582080076.

It is not an unprimeable number, because it can be changed into a prime (67008028561) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 198836712 + ... + 198837048.

Almost surely, 2^67008028560 is an apocalyptic number.

67008028560 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 67008028560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117996697728).

67008028560 is an abundant number, since it is smaller than the sum of its proper divisors (168985366896).

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

67008028560 is a wasteful number, since it uses less digits than its factorization.

67008028560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 583 (or 566 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 42.

The spelling of 67008028560 in words is "sixty-seven billion, eight million, twenty-eight thousand, five hundred sixty".