726352855200 has 1008 divisors, whose sum is σ = 3058291506816. Its totient is φ = 164938291200.

The previous prime is 726352855147. The next prime is 726352855201. The reversal of 726352855200 is 2558253627.

726352855200 is a `hidden beast` number, since 7 + 2 + 635 + 2 + 8 + 5 + 5 + 2 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1008).

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 (726352855201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 167 ways as a sum of consecutive naturals, for example, 738913909 + ... + 738914891.

It is an arithmetic number, because the mean of its divisors is an integer number (3034019352).

Almost surely, 2^726352855200 is an apocalyptic number.

726352855200 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 726352855200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1529145753408).

726352855200 is an abundant number, since it is smaller than the sum of its proper divisors (2331938651616).

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

726352855200 is a wasteful number, since it uses less digits than its factorization.

726352855200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1209 (or 1181 counting only the distinct ones).

The product of its (nonzero) digits is 1008000, while the sum is 45.

The spelling of 726352855200 in words is "seven hundred twenty-six billion, three hundred fifty-two million, eight hundred fifty-five thousand, two hundred".