726702520320 has 1536 divisors, whose sum is σ = 3082060800000. Its totient is φ = 162310127616.

The previous prime is 726702520307. The next prime is 726702520339. The reversal of 726702520320 is 23025207627.

726702520320 is a `hidden beast` number, since 72 + 67 + 0 + 2 + 520 + 3 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1536).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 7491778512 + ... + 7491778608.

It is an arithmetic number, because the mean of its divisors is an integer number (2006550000).

Almost surely, 2^726702520320 is an apocalyptic number.

726702520320 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 726702520320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1541030400000).

726702520320 is an abundant number, since it is smaller than the sum of its proper divisors (2355358279680).

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

726702520320 is an equidigital number, since it uses as much as digits as its factorization.

726702520320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 233 (or 193 counting only the distinct ones).

The product of its (nonzero) digits is 70560, while the sum is 36.

Adding to 726702520320 its reverse (23025207627), we get a palindrome (749727727947).

The spelling of 726702520320 in words is "seven hundred twenty-six billion, seven hundred two million, five hundred twenty thousand, three hundred twenty".