67987797696 has 336 divisors, whose sum is σ = 241137082368. Its totient is φ = 17834342400.

The previous prime is 67987797673. The next prime is 67987797697. The reversal of 67987797696 is 69679778976.

It is a tau number, because it is divible by the number of its divisors (336).

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

It is not an unprimeable number, because it can be changed into a prime (67987797697) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 10008061 + ... + 10014851.

It is an arithmetic number, because the mean of its divisors is an integer number (717669888).

Almost surely, 2^67987797696 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 67987797696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120568541184).

67987797696 is an abundant number, since it is smaller than the sum of its proper divisors (173149284672).

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

67987797696 is a wasteful number, since it uses less digits than its factorization.

67987797696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7020 (or 7007 counting only the distinct ones).

The product of its digits is 3024568512, while the sum is 81.

The spelling of 67987797696 in words is "sixty-seven billion, nine hundred eighty-seven million, seven hundred ninety-seven thousand, six hundred ninety-six".