67105056512 has 144 divisors (see below), whose sum is σ = 148561680960. Its totient is φ = 30050942976.

The previous prime is 67105056467. The next prime is 67105056523. The reversal of 67105056512 is 21565050176.

It is a super-2 number, since 2×67105056512² (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 73019189 + ... + 73020107.

It is an arithmetic number, because the mean of its divisors is an integer number (1031678340).

Almost surely, 2^67105056512 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 67105056512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74280840480).

67105056512 is an abundant number, since it is smaller than the sum of its proper divisors (81456624448).

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

67105056512 is a wasteful number, since it uses less digits than its factorization.

67105056512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1578 (or 1564 counting only the distinct ones).

The product of its (nonzero) digits is 63000, while the sum is 38.

The spelling of 67105056512 in words is "sixty-seven billion, one hundred five million, fifty-six thousand, five hundred twelve".