726403325544 has 512 divisors, whose sum is σ = 2430388800000. Its totient is φ = 198902366208.

The previous prime is 726403325429. The next prime is 726403325597. The reversal of 726403325544 is 445523304627.

726403325544 is a `hidden beast` number, since 7 + 2 + 64 + 0 + 3 + 32 + 554 + 4 = 666.

It is a super-2 number, since 2×726403325544² (a number of 25 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 726403325544.

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, 57240352 + ... + 57253040.

It is an arithmetic number, because the mean of its divisors is an integer number (4746853125).

Almost surely, 2^726403325544 is an apocalyptic number.

726403325544 is a gapful number since it is divisible by the number (74) 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 726403325544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1215194400000).

726403325544 is an abundant number, since it is smaller than the sum of its proper divisors (1703985474456).

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

726403325544 is a wasteful number, since it uses less digits than its factorization.

726403325544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12802 (or 12792 counting only the distinct ones).

The product of its (nonzero) digits is 2419200, while the sum is 45.

The spelling of 726403325544 in words is "seven hundred twenty-six billion, four hundred three million, three hundred twenty-five thousand, five hundred forty-four".