67000627652608 has 288 divisors, whose sum is σ = 148665001703400. Its totient is φ = 30008373018624.

The previous prime is 67000627652579. The next prime is 67000627652701. The reversal of 67000627652608 is 80625672600076.

It can be written as a sum of positive squares in 4 ways, for example, as 37712961823744 + 29287665828864 = 6141088^2 + 5411808^2 .

It is a hoax number, since the sum of its digits (55) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7728756498 + ... + 7728765166.

Almost surely, 2^{67000627652608} 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 67000627652608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74332500851700).

67000627652608 is an abundant number, since it is smaller than the sum of its proper divisors (81664374050792).

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

67000627652608 is a wasteful number, since it uses less digits than its factorization.

67000627652608 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8947 (or 8884 counting only the distinct ones).

The product of its (nonzero) digits is 10160640, while the sum is 55.

The spelling of 67000627652608 in words is "sixty-seven trillion, six hundred twenty-seven million, six hundred fifty-two thousand, six hundred eight".