76973388337967 has 8 divisors (see below), whose sum is σ = 83982970175952. Its totient is φ = 69965806680000.

The previous prime is 76973388337849. The next prime is 76973388337981.

76973388337967 is nontrivially palindromic in base 10.

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

It is not a de Polignac number, because 76973388337967 - 2⁸ = 76973388337711 is a prime.

It is a super-2 number, since 2×76973388337967² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (76973388337067) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 499964534 + ... + 500118467.

It is an arithmetic number, because the mean of its divisors is an integer number (10497871271994).

Almost surely, 2^{76973388337967} is an apocalyptic number.

76973388337967 is a deficient number, since it is larger than the sum of its proper divisors (7009581837985).

76973388337967 is a wasteful number, since it uses less digits than its factorization.

76973388337967 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1000090009.

The product of its digits is 36294822144, while the sum is 86.

The spelling of 76973388337967 in words is "seventy-six trillion, nine hundred seventy-three billion, three hundred eighty-eight million, three hundred thirty-seven thousand, nine hundred sixty-seven".