73868716944 has 405 divisors, whose sum is σ = 238699019377. Its totient is φ = 21308179200.

The previous prime is 73868716939. The next prime is 73868716967. The reversal of 73868716944 is 44961786837.

The square root of 73868716944 is 271788.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 38734963344 + 35133753600 = 196812^2 + 187440^2 .

It is a Duffinian number.

It is an unprimeable number.

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 80 ways as a sum of consecutive naturals, for example, 1040404429 + ... + 1040404499.

Almost surely, 2^73868716944 is an apocalyptic number.

73868716944 is the 271788-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 73868716944

73868716944 is an abundant number, since it is smaller than the sum of its proper divisors (164830302433).

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

73868716944 is a wasteful number, since it uses less digits than its factorization.

73868716944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 236 (or 116 counting only the distinct ones).

The product of its digits is 48771072, while the sum is 63.

The spelling of 73868716944 in words is "seventy-three billion, eight hundred sixty-eight million, seven hundred sixteen thousand, nine hundred forty-four".