76340766704367 has 32 divisors (see below), whose sum is σ = 117583860397824. Its totient is φ = 43541492825600.

The previous prime is 76340766704351. The next prime is 76340766704393.

76340766704367 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 76340766704367 - 2⁴ = 76340766704351 is a prime.

It is a super-2 number, since 2×76340766704367² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 76340766704298 and 76340766704307.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (76340766704767) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 262953 + ... + 12359234.

It is an arithmetic number, because the mean of its divisors is an integer number (3674495637432).

Almost surely, 2^{76340766704367} is an apocalyptic number.

76340766704367 is a deficient number, since it is larger than the sum of its proper divisors (41243093693457).

76340766704367 is a wasteful number, since it uses less digits than its factorization.

76340766704367 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12632999.

The product of its (nonzero) digits is 448084224, while the sum is 66.

The spelling of 76340766704367 in words is "seventy-six trillion, three hundred forty billion, seven hundred sixty-six million, seven hundred four thousand, three hundred sixty-seven".