67468481760 has 144 divisors (see below), whose sum is σ = 218427024816. Its totient is φ = 17505165312.

The previous prime is 67468481753. The next prime is 67468481761. The reversal of 67468481760 is 6718486476.

It is a happy number.

It is a Smith number, since the sum of its digits (57) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 67468481760.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (67468481761) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 605784 + ... + 708456.

It is an arithmetic number, because the mean of its divisors is an integer number (1516854339).

Almost surely, 2^67468481760 is an apocalyptic number.

67468481760 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 67468481760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109213512408).

67468481760 is an abundant number, since it is smaller than the sum of its proper divisors (150958543056).

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

67468481760 is a wasteful number, since it uses less digits than its factorization.

67468481760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102765 (or 102720 counting only the distinct ones).

The product of its (nonzero) digits is 10838016, while the sum is 57.

The spelling of 67468481760 in words is "sixty-seven billion, four hundred sixty-eight million, four hundred eighty-one thousand, seven hundred sixty".