76973533537967 has 8 divisors (see below), whose sum is σ = 83976775070160. Its totient is φ = 69971233268160.

The previous prime is 76973533537937. The next prime is 76973533537973.

76973533537967 is nontrivially palindromic in base 10.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 76973533537967 - 2²⁰ = 76973532489391 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 76973533537891 and 76973533537900.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (76973533537937) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 235144598 + ... + 235471715.

It is an arithmetic number, because the mean of its divisors is an integer number (10497096883770).

Almost surely, 2^{76973533537967} is an apocalyptic number.

76973533537967 is a deficient number, since it is larger than the sum of its proper divisors (7003241532193).

76973533537967 is a wasteful number, since it uses less digits than its factorization.

76973533537967 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 470631193.

The product of its digits is 14177664900, while the sum is 80.

The spelling of 76973533537967 in words is "seventy-six trillion, nine hundred seventy-three billion, five hundred thirty-three million, five hundred thirty-seven thousand, nine hundred sixty-seven".