726233194176 has 224 divisors, whose sum is σ = 2251224514560. Its totient is φ = 202283827200.

The previous prime is 726233194123. The next prime is 726233194177. The reversal of 726233194176 is 671491332627.

726233194176 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (224).

It is not an unprimeable number, because it can be changed into a prime (726233194177) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 88658241 + ... + 88666431.

It is an arithmetic number, because the mean of its divisors is an integer number (10050109440).

Almost surely, 2^726233194176 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 726233194176, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1125612257280).

726233194176 is an abundant number, since it is smaller than the sum of its proper divisors (1524991320384).

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

726233194176 is a wasteful number, since it uses less digits than its factorization.

726233194176 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9863 (or 9853 counting only the distinct ones).

The product of its digits is 2286144, while the sum is 51.

The spelling of 726233194176 in words is "seven hundred twenty-six billion, two hundred thirty-three million, one hundred ninety-four thousand, one hundred seventy-six".