816727721700 has 72 divisors (see below), whose sum is σ = 2577889692000. Its totient is φ = 197994598400.

The previous prime is 816727721687. The next prime is 816727721707. The reversal of 816727721700 is 7127727618.

It is a self number, because there is not a number n which added to its sum of digits gives 816727721700.

It is not an unprimeable number, because it can be changed into a prime (816727721707) 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, 123743325 + ... + 123749924.

It is an arithmetic number, because the mean of its divisors is an integer number (35804023500).

Almost surely, 2^816727721700 is an apocalyptic number.

It is an amenable number.

816727721700 is an abundant number, since it is smaller than the sum of its proper divisors (1761161970300).

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

816727721700 is a wasteful number, since it uses less digits than its factorization.

816727721700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 247493277 (or 247493270 counting only the distinct ones).

The product of its (nonzero) digits is 460992, while the sum is 48.

The spelling of 816727721700 in words is "eight hundred sixteen billion, seven hundred twenty-seven million, seven hundred twenty-one thousand, seven hundred".