67983638976 has 504 divisors, whose sum is σ = 225692677392. Its totient is φ = 19525017600.

The previous prime is 67983638969. The next prime is 67983639011.

67983638976 is a `hidden beast` number, since 67 + 98 + 36 + 389 + 76 = 666.

67983638976 is nontrivially palindromic in base 10.

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

It is a congruent number.

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 71 ways as a sum of consecutive naturals, for example, 105728511 + ... + 105729153.

Almost surely, 2^67983638976 is an apocalyptic number.

67983638976 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 67983638976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112846338696).

67983638976 is an abundant number, since it is smaller than the sum of its proper divisors (157709038416).

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

67983638976 is a wasteful number, since it uses less digits than its factorization.

67983638976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 761 (or 737 counting only the distinct ones).

The product of its digits is 493807104, while the sum is 72.

The spelling of 67983638976 in words is "sixty-seven billion, nine hundred eighty-three million, six hundred thirty-eight thousand, nine hundred seventy-six".