67376267376 has 120 divisors (see below), whose sum is σ = 193740099840. Its totient is φ = 20158469760.

The previous prime is 67376267369. The next prime is 67376267381.

It is a happy number.

67376267376 is nontrivially palindromic in base 10.

67376267376 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×67376267376² (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 385411 + ... + 532253.

It is an arithmetic number, because the mean of its divisors is an integer number (1614500832).

Almost surely, 2^67376267376 is an apocalyptic number.

67376267376 is a gapful number since it is divisible by the number (66) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 67376267376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96870049920).

67376267376 is an abundant number, since it is smaller than the sum of its proper divisors (126363832464).

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

67376267376 is a wasteful number, since it uses less digits than its factorization.

67376267376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 146955 (or 146938 counting only the distinct ones).

The product of its digits is 56010528, while the sum is 60.

The spelling of 67376267376 in words is "sixty-seven billion, three hundred seventy-six million, two hundred sixty-seven thousand, three hundred seventy-six".