67314041376 has 96 divisors (see below), whose sum is σ = 178046926848. Its totient is φ = 22267464960.

The previous prime is 67314041371. The next prime is 67314041387.

67314041376 is nontrivially palindromic in base 10.

It is a tau number, because it is divible by the number of its divisors (96).

It is not an unprimeable number, because it can be changed into a prime (67314041371) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8118705 + ... + 8126991.

It is an arithmetic number, because the mean of its divisors is an integer number (1854655488).

Almost surely, 2^67314041376 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 67314041376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89023463424).

67314041376 is an abundant number, since it is smaller than the sum of its proper divisors (110732885472).

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

67314041376 is a wasteful number, since it uses less digits than its factorization.

67314041376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8934 (or 8926 counting only the distinct ones).

The product of its (nonzero) digits is 254016, while the sum is 42.

The spelling of 67314041376 in words is "sixty-seven billion, three hundred fourteen million, forty-one thousand, three hundred seventy-six".