726230716800 has 192 divisors, whose sum is σ = 2432567073600. Its totient is φ = 190378977280.

The previous prime is 726230716787. The next prime is 726230716801. The reversal of 726230716800 is 8617032627.

It is a tau number, because it is divible by the number of its divisors (192).

It is a super-2 number, since 2×726230716800² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (726230716801) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 74694 + ... + 1207493.

It is an arithmetic number, because the mean of its divisors is an integer number (12669620175).

Almost surely, 2^726230716800 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 726230716800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1216283536800).

726230716800 is an abundant number, since it is smaller than the sum of its proper divisors (1706336356800).

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

726230716800 is a wasteful number, since it uses less digits than its factorization.

726230716800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1282273 (or 1282256 counting only the distinct ones).

The product of its (nonzero) digits is 169344, while the sum is 42.

The spelling of 726230716800 in words is "seven hundred twenty-six billion, two hundred thirty million, seven hundred sixteen thousand, eight hundred".