67117152200 has 108 divisors (see below), whose sum is σ = 181593892035. Its totient is φ = 23002801920.

The previous prime is 67117152199. The next prime is 67117152203. The reversal of 67117152200 is 225171176.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 5 ways, for example, as 61314673924 + 5802478276 = 247618^2 + 76174^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=183190.

It is not an unprimeable number, because it can be changed into a prime (67117152203) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 25645292 + ... + 25647908.

Almost surely, 2^67117152200 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 67117152200

67117152200 is an abundant number, since it is smaller than the sum of its proper divisors (114476739835).

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

67117152200 is an equidigital number, since it uses as much as digits as its factorization.

67117152200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5264 (or 2631 counting only the distinct ones).

The product of its (nonzero) digits is 5880, while the sum is 32.

Multiplying 67117152200 by its sum of digits (32), we get a square (2147748870400 = 1465520²).

The spelling of 67117152200 in words is "sixty-seven billion, one hundred seventeen million, one hundred fifty-two thousand, two hundred".