726879868100 has 36 divisors (see below), whose sum is σ = 1670113394964. Its totient is φ = 273648890880.

The previous prime is 726879868051. The next prime is 726879868133. The reversal of 726879868100 is 1868978627.

It can be written as a sum of positive squares in 6 ways, for example, as 2062613056 + 724817255044 = 45416^2 + 851362^2 .

It is a super-2 number, since 2×726879868100² (a number of 25 digits) contains 22 as substring.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 213786497 + ... + 213789896.

It is an arithmetic number, because the mean of its divisors is an integer number (46392038749).

Almost surely, 2^726879868100 is an apocalyptic number.

It is an amenable number.

726879868100 is an abundant number, since it is smaller than the sum of its proper divisors (943233526864).

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

726879868100 is a wasteful number, since it uses less digits than its factorization.

726879868100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 427576424 (or 427576417 counting only the distinct ones).

The product of its (nonzero) digits is 16257024, while the sum is 62.

The spelling of 726879868100 in words is "seven hundred twenty-six billion, eight hundred seventy-nine million, eight hundred sixty-eight thousand, one hundred".