76973311337967 has 48 divisors (see below), whose sum is σ = 124576727932800. Its totient is φ = 45387005227200.

The previous prime is 76973311337959. The next prime is 76973311337969.

76973311337967 is a `hidden beast` number, since 7 + 6 + 97 + 331 + 133 + 79 + 6 + 7 = 666.

76973311337967 is nontrivially palindromic in base 10.

76973311337967 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 76973311337967 - 2³ = 76973311337959 is a prime.

It is a super-2 number, since 2×76973311337967² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 76973311337895 and 76973311337904.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (76973311337969) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 62729284 + ... + 63944582.

It is an arithmetic number, because the mean of its divisors is an integer number (2595348498600).

Almost surely, 2^{76973311337967} is an apocalyptic number.

76973311337967 is a deficient number, since it is larger than the sum of its proper divisors (47603416594833).

76973311337967 is a wasteful number, since it uses less digits than its factorization.

76973311337967 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1232644 (or 1232641 counting only the distinct ones).

The product of its digits is 567106596, while the sum is 72.

The spelling of 76973311337967 in words is "seventy-six trillion, nine hundred seventy-three billion, three hundred eleven million, three hundred thirty-seven thousand, nine hundred sixty-seven".