67381418376 has 128 divisors (see below), whose sum is σ = 190590182400. Its totient is φ = 22051491840.

The previous prime is 67381418339. The next prime is 67381418383.

67381418376 is nontrivially palindromic in base 10.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7598121 + ... + 7606983.

It is an arithmetic number, because the mean of its divisors is an integer number (1488985800).

Almost surely, 2^67381418376 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 67381418376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95295091200).

67381418376 is an abundant number, since it is smaller than the sum of its proper divisors (123208764024).

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

67381418376 is a wasteful number, since it uses less digits than its factorization.

67381418376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9516 (or 9506 counting only the distinct ones).

The product of its digits is 4064256, while the sum is 54.

The spelling of 67381418376 in words is "sixty-seven billion, three hundred eighty-one million, four hundred eighteen thousand, three hundred seventy-six".