726726524120 has 128 divisors (see below), whose sum is σ = 1691495784000. Its totient is φ = 280825036800.

The previous prime is 726726524101. The next prime is 726726524123. The reversal of 726726524120 is 21425627627.

It is a super-3 number, since 3×726726524120³ (a number of 37 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (726726524123) 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 31 ways as a sum of consecutive naturals, for example, 244769996 + ... + 244772964.

Almost surely, 2^726726524120 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 726726524120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (845747892000).

726726524120 is an abundant number, since it is smaller than the sum of its proper divisors (964769259880).

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

726726524120 is a wasteful number, since it uses less digits than its factorization.

726726524120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4533 (or 4529 counting only the distinct ones).

The product of its (nonzero) digits is 564480, while the sum is 44.

The spelling of 726726524120 in words is "seven hundred twenty-six billion, seven hundred twenty-six million, five hundred twenty-four thousand, one hundred twenty".