726674691200 has 96 divisors (see below), whose sum is σ = 1801242564660. Its totient is φ = 289677455360.

The previous prime is 726674691199. The next prime is 726674691247. The reversal of 726674691200 is 2196476627.

It can be written as a sum of positive squares in 6 ways, for example, as 186990515776 + 539684175424 = 432424^2 + 734632^2 .

It is a super-2 number, since 2×726674691200² (a number of 25 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (50) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (50).

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 11 ways as a sum of consecutive naturals, for example, 550082 + ... + 1325118.

Almost surely, 2^726674691200 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 726674691200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (900621282330).

726674691200 is an abundant number, since it is smaller than the sum of its proper divisors (1074567873460).

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

726674691200 is a wasteful number, since it uses less digits than its factorization.

726674691200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 775354 (or 775337 counting only the distinct ones).

The product of its (nonzero) digits is 1524096, while the sum is 50.

The spelling of 726674691200 in words is "seven hundred twenty-six billion, six hundred seventy-four million, six hundred ninety-one thousand, two hundred".