67992836688 has 270 divisors, whose sum is σ = 233624579994. Its totient is φ = 18403386624.

The previous prime is 67992836671. The next prime is 67992836689. The reversal of 67992836688 is 88663829976.

It can be written as a sum of positive squares in only one way, i.e., 35467435584 + 32525401104 = 188328^2 + 180348^2 .

It is a Harshad number since it is a multiple of its sum of digits (72).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (67992836689) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 2533870 + ... + 2560562.

Almost surely, 2^67992836688 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 67992836688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116812289997).

67992836688 is an abundant number, since it is smaller than the sum of its proper divisors (165631743306).

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

67992836688 is a wasteful number, since it uses less digits than its factorization.

67992836688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26759 (or 26724 counting only the distinct ones).

The product of its digits is 376233984, while the sum is 72.

The spelling of 67992836688 in words is "sixty-seven billion, nine hundred ninety-two million, eight hundred thirty-six thousand, six hundred eighty-eight".