67342770100 has 144 divisors (see below), whose sum is σ = 150852063600. Its totient is φ = 26085888000.

The previous prime is 67342770073. The next prime is 67342770151. The reversal of 67342770100 is 107724376.

It can be written as a sum of positive squares in 24 ways, for example, as 57689314596 + 9653455504 = 240186^2 + 98252^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 67342770100.

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 109857394 + ... + 109858006.

It is an arithmetic number, because the mean of its divisors is an integer number (1047583775).

Almost surely, 2^67342770100 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 67342770100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75426031800).

67342770100 is an abundant number, since it is smaller than the sum of its proper divisors (83509293500).

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

67342770100 is a wasteful number, since it uses less digits than its factorization.

67342770100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 950 (or 943 counting only the distinct ones).

The product of its (nonzero) digits is 49392, while the sum is 37.

The spelling of 67342770100 in words is "sixty-seven billion, three hundred forty-two million, seven hundred seventy thousand, one hundred".