726136227180 has 480 divisors, whose sum is σ = 2809492224000. Its totient is φ = 152884247040.

The previous prime is 726136227137. The next prime is 726136227181. The reversal of 726136227180 is 81722631627.

726136227180 is a `hidden beast` number, since 7 + 2 + 6 + 1 + 3 + 622 + 7 + 18 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (726136227181) 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 159 ways as a sum of consecutive naturals, for example, 73557645 + ... + 73567515.

It is an arithmetic number, because the mean of its divisors is an integer number (5853108800).

Almost surely, 2^726136227180 is an apocalyptic number.

726136227180 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 726136227180, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1404746112000).

726136227180 is an abundant number, since it is smaller than the sum of its proper divisors (2083355996820).

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

726136227180 is a wasteful number, since it uses less digits than its factorization.

726136227180 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10411 (or 10400 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 45.

The spelling of 726136227180 in words is "seven hundred twenty-six billion, one hundred thirty-six million, two hundred twenty-seven thousand, one hundred eighty".