67318600560 has 640 divisors, whose sum is σ = 243241574400. Its totient is φ = 15288238080.

The previous prime is 67318600553. The next prime is 67318600561. The reversal of 67318600560 is 6500681376.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (67318600561) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 261939952 + ... + 261940208.

It is an arithmetic number, because the mean of its divisors is an integer number (380064960).

Almost surely, 2^67318600560 is an apocalyptic number.

67318600560 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 67318600560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121620787200).

67318600560 is an abundant number, since it is smaller than the sum of its proper divisors (175922973840).

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

67318600560 is a wasteful number, since it uses less digits than its factorization.

67318600560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 449 (or 443 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 42.

The spelling of 67318600560 in words is "sixty-seven billion, three hundred eighteen million, six hundred thousand, five hundred sixty".