726456200976 has 225 divisors, whose sum is σ = 2240177654455. Its totient is φ = 219763220160.

The previous prime is 726456200971. The next prime is 726456200999. The reversal of 726456200976 is 679002654627.

The square root of 726456200976 is 852324.

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

726456200976 is a `hidden beast` number, since 7 + 2 + 6 + 4 + 5 + 620 + 0 + 9 + 7 + 6 = 666.

It is a super-3 number, since 3×726456200976³ (a number of 37 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (726456200971) 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 44 ways as a sum of consecutive naturals, for example, 1237574155 + ... + 1237574741.

Almost surely, 2^726456200976 is an apocalyptic number.

726456200976 is the 852324-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 726456200976

726456200976 is an abundant number, since it is smaller than the sum of its proper divisors (1513721453479).

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

726456200976 is an frugal number, since it uses more digits than its factorization.

726456200976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1232 (or 603 counting only the distinct ones).

The product of its (nonzero) digits is 7620480, while the sum is 54.

The spelling of 726456200976 in words is "seven hundred twenty-six billion, four hundred fifty-six million, two hundred thousand, nine hundred seventy-six".