76441743361 has 9 divisors (see below), whose sum is σ = 76993382529. Its totient is φ = 75894034500.

The previous prime is 76441743349. The next prime is 76441743379. The reversal of 76441743361 is 16334714467.

The square root of 76441743361 is 276481.

It is a perfect power (a square), and thus also a powerful number.

It is not a de Polignac number, because 76441743361 - 2³³ = 67851808769 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (76441743461) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 41747716 + ... + 41749546.

It is an arithmetic number, because the mean of its divisors is an integer number (8554820281).

Almost surely, 2^76441743361 is an apocalyptic number.

76441743361 is the 276481-st square number.

76441743361 is the 138241-st centered octagonal number.

It is an amenable number.

76441743361 is a deficient number, since it is larger than the sum of its proper divisors (551639168).

76441743361 is an frugal number, since it uses more digits than its factorization.

76441743361 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3964 (or 1982 counting only the distinct ones).

The product of its digits is 1016064, while the sum is 46.

The spelling of 76441743361 in words is "seventy-six billion, four hundred forty-one million, seven hundred forty-three thousand, three hundred sixty-one".