76506842484 has 36 divisors (see below), whose sum is σ = 193481985060. Its totient is φ = 25490453760.

The previous prime is 76506842471. The next prime is 76506842497. The reversal of 76506842484 is 48424860567.

It is a happy number.

76506842484 is a `hidden beast` number, since 7 + 65 + 0 + 68 + 42 + 484 = 666.

It is an interprime number because it is at equal distance from previous prime (76506842471) and next prime (76506842497).

It can be written as a sum of positive squares in 2 ways, for example, as 58868346384 + 17638496100 = 242628^2 + 132810^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a self number, because there is not a number n which added to its sum of digits gives 76506842484.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 413919 + ... + 569510.

It is an arithmetic number, because the mean of its divisors is an integer number (5374499585).

Almost surely, 2^76506842484 is an apocalyptic number.

It is an amenable number.

76506842484 is an abundant number, since it is smaller than the sum of its proper divisors (116975142576).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

76506842484 is a wasteful number, since it uses less digits than its factorization.

76506842484 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 985600 (or 985595 counting only the distinct ones).

The product of its (nonzero) digits is 10321920, while the sum is 54.

The spelling of 76506842484 in words is "seventy-six billion, five hundred six million, eight hundred forty-two thousand, four hundred eighty-four".