67983261696 has 405 divisors, whose sum is σ = 230833258929. Its totient is φ = 19223543808.

The previous prime is 67983261677. The next prime is 67983261721. The reversal of 67983261696 is 69616238976.

The square root of 67983261696 is 260736.

It is a perfect power (a square), and thus also a powerful number.

67983261696 is a `hidden beast` number, since 6 + 7 + 9 + 8 + 3 + 2 + 616 + 9 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 30527078400 + 37456183296 = 174720^2 + 193536^2 .

It is a Harshad number since it is a multiple of its sum of digits (63).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 700858320 + ... + 700858416.

Almost surely, 2^67983261696 is an apocalyptic number.

67983261696 is the 260736-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 67983261696

67983261696 is an abundant number, since it is smaller than the sum of its proper divisors (162849997233).

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

67983261696 is an frugal number, since it uses more digits than its factorization.

67983261696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 242 (or 109 counting only the distinct ones).

The product of its digits is 35271936, while the sum is 63.

The spelling of 67983261696 in words is "sixty-seven billion, nine hundred eighty-three million, two hundred sixty-one thousand, six hundred ninety-six".