726022332000 has 1152 divisors, whose sum is σ = 3209331041280. Its totient is φ = 156139315200.

The previous prime is 726022331989. The next prime is 726022332019. The reversal of 726022332000 is 233220627.

726022332000 is a `hidden beast` number, since 7 + 2 + 602 + 2 + 33 + 20 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

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 191 ways as a sum of consecutive naturals, for example, 218482339 + ... + 218485661.

It is an arithmetic number, because the mean of its divisors is an integer number (2785877640).

Almost surely, 2^726022332000 is an apocalyptic number.

726022332000 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 726022332000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1604665520640).

726022332000 is an abundant number, since it is smaller than the sum of its proper divisors (2483308709280).

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

726022332000 is a wasteful number, since it uses less digits than its factorization.

726022332000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3398 (or 3357 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 27.

Adding to 726022332000 its reverse (233220627), we get a palindrome (726255552627).

The spelling of 726022332000 in words is "seven hundred twenty-six billion, twenty-two million, three hundred thirty-two thousand".