67361816376 has 96 divisors (see below), whose sum is σ = 188483677200. Its totient is φ = 22291018560.

The previous prime is 67361816341. The next prime is 67361816393.

It is a happy number.

67361816376 is a `hidden beast` number, since 6 + 7 + 3 + 618 + 16 + 3 + 7 + 6 = 666.

67361816376 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×67361816376² (a number of 22 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

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 23 ways as a sum of consecutive naturals, for example, 4165266 + ... + 4181406.

Almost surely, 2^67361816376 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 67361816376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94241838600).

67361816376 is an abundant number, since it is smaller than the sum of its proper divisors (121121860824).

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

67361816376 is a wasteful number, since it uses less digits than its factorization.

67361816376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16434 (or 16285 counting only the distinct ones).

The product of its digits is 4572288, while the sum is 54.

The spelling of 67361816376 in words is "sixty-seven billion, three hundred sixty-one million, eight hundred sixteen thousand, three hundred seventy-six".