76644344344667 has 24 divisors (see below), whose sum is σ = 85420994694000. Its totient is φ = 68711138907840.

The previous prime is 76644344344619. The next prime is 76644344344679.

It is a happy number.

76644344344667 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 76644344344667 - 2³² = 76640049377371 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 76644344344597 and 76644344344606.

It is not an unprimeable number, because it can be changed into a prime (76644344340667) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 12785948 + ... + 17798009.

It is an arithmetic number, because the mean of its divisors is an integer number (3559208112250).

Almost surely, 2^{76644344344667} is an apocalyptic number.

76644344344667 is a deficient number, since it is larger than the sum of its proper divisors (8776650349333).

76644344344667 is a wasteful number, since it uses less digits than its factorization.

76644344344667 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30584267 (or 30584256 counting only the distinct ones).

The product of its digits is 2341011456, while the sum is 68.

The spelling of 76644344344667 in words is "seventy-six trillion, six hundred forty-four billion, three hundred forty-four million, three hundred forty-four thousand, six hundred sixty-seven".