76138244568801 has 24 divisors (see below), whose sum is σ = 120462131373480. Its totient is φ = 46125670811136.

The previous prime is 76138244568797. The next prime is 76138244568821. The reversal of 76138244568801 is 10886544283167.

76138244568801 is a `hidden beast` number, since 7 + 61 + 3 + 8 + 2 + 4 + 4 + 568 + 8 + 0 + 1 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 24345105973776 + 51793138595025 = 4934076^2 + 7196745^2 .

It is not a de Polignac number, because 76138244568801 - 2² = 76138244568797 is a prime.

It is not an unprimeable number, because it can be changed into a prime (76138244568821) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8579919450 + ... + 8579928323.

It is an arithmetic number, because the mean of its divisors is an integer number (5019255473895).

Almost surely, 2^{76138244568801} is an apocalyptic number.

It is an amenable number.

76138244568801 is a deficient number, since it is larger than the sum of its proper divisors (44323886804679).

76138244568801 is a wasteful number, since it uses less digits than its factorization.

76138244568801 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17159847825 (or 17159847822 counting only the distinct ones).

The product of its (nonzero) digits is 61931520, while the sum is 63.

The spelling of 76138244568801 in words is "seventy-six trillion, one hundred thirty-eight billion, two hundred forty-four million, five hundred sixty-eight thousand, eight hundred one".