73680810768 has 120 divisors (see below), whose sum is σ = 212335838208. Its totient is φ = 23833426176.

The previous prime is 73680810767. The next prime is 73680810773. The reversal of 73680810768 is 86701808637.

It is not an unprimeable number, because it can be changed into a prime (73680810767) 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 23 ways as a sum of consecutive naturals, for example, 2022571 + ... + 2058677.

Almost surely, 2^73680810768 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 73680810768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106167919104).

73680810768 is an abundant number, since it is smaller than the sum of its proper divisors (138655027440).

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

73680810768 is a wasteful number, since it uses less digits than its factorization.

73680810768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36541 (or 36532 counting only the distinct ones).

The product of its (nonzero) digits is 2709504, while the sum is 54.

The spelling of 73680810768 in words is "seventy-three billion, six hundred eighty million, eight hundred ten thousand, seven hundred sixty-eight".