76974618249 has 45 divisors (see below), whose sum is σ = 119200698903. Its totient is φ = 49500270288.

The previous prime is 76974618247. The next prime is 76974618251. The reversal of 76974618249 is 94281647967.

The square root of 76974618249 is 277443.

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

76974618249 is a `hidden beast` number, since 7 + 6 + 9 + 7 + 4 + 618 + 2 + 4 + 9 = 666.

It is an interprime number because it is at equal distance from previous prime (76974618247) and next prime (76974618251).

It can be written as a sum of positive squares in only one way, i.e., 40363622649 + 36610995600 = 200907^2 + 191340^2 .

It is not a de Polignac number, because 76974618249 - 2¹ = 76974618247 is a prime.

It is not an unprimeable number, because it can be changed into a prime (76974618247) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 72412092 + ... + 72413154.

Almost surely, 2^76974618249 is an apocalyptic number.

76974618249 is the 277443-rd square number.

76974618249 is the 138722-nd centered octagonal number.

It is an amenable number.

76974618249 is a deficient number, since it is larger than the sum of its proper divisors (42226080654).

76974618249 is an frugal number, since it uses more digits than its factorization.

76974618249 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2196 (or 1095 counting only the distinct ones).

The product of its digits is 36578304, while the sum is 63.

The spelling of 76974618249 in words is "seventy-six billion, nine hundred seventy-four million, six hundred eighteen thousand, two hundred forty-nine".