73667406706700 has 72 divisors (see below), whose sum is σ = 171006666716592. Its totient is φ = 27447698350080.

The previous prime is 73667406706697. The next prime is 73667406706703. The reversal of 73667406706700 is 760760476637.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (73667406706697) and next prime (73667406706703).

It is a self number, because there is not a number n which added to its sum of digits gives 73667406706700.

It is not an unprimeable number, because it can be changed into a prime (73667406706703) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 223205042 + ... + 223534841.

It is an arithmetic number, because the mean of its divisors is an integer number (2375092593286).

Almost surely, 2^{73667406706700} is an apocalyptic number.

It is an amenable number.

73667406706700 is an abundant number, since it is smaller than the sum of its proper divisors (97339260009892).

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

73667406706700 is a wasteful number, since it uses less digits than its factorization.

73667406706700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 446740011 (or 446740004 counting only the distinct ones).

The product of its (nonzero) digits is 37340352, while the sum is 59.

The spelling of 73667406706700 in words is "seventy-three trillion, six hundred sixty-seven billion, four hundred six million, seven hundred six thousand, seven hundred".