73868644686837 has 128 divisors (see below), whose sum is σ = 140195552329728. Its totient is φ = 33352439731200.

The previous prime is 73868644686743. The next prime is 73868644686847.

73868644686837 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 73868644686837 - 2¹² = 73868644682741 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 73868644686837.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (73868644686847) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 7278438 + ... + 14167319.

It is an arithmetic number, because the mean of its divisors is an integer number (1095277752576).

Almost surely, 2^{73868644686837} is an apocalyptic number.

73868644686837 is a gapful number since it is divisible by the number (77) formed by its first and last digit.

It is an amenable number.

73868644686837 is a deficient number, since it is larger than the sum of its proper divisors (66326907642891).

73868644686837 is a wasteful number, since it uses less digits than its factorization.

73868644686837 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21445859.

The product of its digits is 37456183296, while the sum is 84.

The spelling of 73868644686837 in words is "seventy-three trillion, eight hundred sixty-eight billion, six hundred forty-four million, six hundred eighty-six thousand, eight hundred thirty-seven".