76361816367 has 32 divisors (see below), whose sum is σ = 121424160960. Its totient is φ = 47256929280.

The previous prime is 76361816353. The next prime is 76361816371.

It is a happy number.

76361816367 is a `hidden beast` number, since 7 + 6 + 3 + 618 + 16 + 3 + 6 + 7 = 666.

76361816367 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 76361816367 - 2²² = 76357622063 is a prime.

It is a super-3 number, since 3×76361816367³ (a number of 34 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is an alternating number because its digits alternate between odd and even.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (76361816317) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1105984 + ... + 1172997.

It is an arithmetic number, because the mean of its divisors is an integer number (3794505030).

Almost surely, 2^76361816367 is an apocalyptic number.

76361816367 is a deficient number, since it is larger than the sum of its proper divisors (45062344593).

76361816367 is a wasteful number, since it uses less digits than its factorization.

76361816367 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2279080 (or 2279074 counting only the distinct ones).

The product of its digits is 4572288, while the sum is 54.

The spelling of 76361816367 in words is "seventy-six billion, three hundred sixty-one million, eight hundred sixteen thousand, three hundred sixty-seven".