67316261376 has 320 divisors, whose sum is σ = 221454326016. Its totient is φ = 17694720000.

The previous prime is 67316261329. The next prime is 67316261443.

67316261376 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 56049576 + ... + 56050776.

Almost surely, 2^67316261376 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 67316261376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110727163008).

67316261376 is an abundant number, since it is smaller than the sum of its proper divisors (154138064640).

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

67316261376 is a wasteful number, since it uses less digits than its factorization.

67316261376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1643 (or 1627 counting only the distinct ones).

The product of its digits is 1143072, while the sum is 48.

The spelling of 67316261376 in words is "sixty-seven billion, three hundred sixteen million, two hundred sixty-one thousand, three hundred seventy-six".