726588128448 has 1680 divisors, whose sum is σ = 2932244884800. Its totient is φ = 176161112064.

The previous prime is 726588128447. The next prime is 726588128467. The reversal of 726588128448 is 844821885627.

726588128448 is a `hidden beast` number, since 7 + 2 + 6 + 588 + 1 + 2 + 8 + 4 + 48 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (726588128443) by changing a digit.

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 239 ways as a sum of consecutive naturals, for example, 16897398315 + ... + 16897398357.

It is an arithmetic number, because the mean of its divisors is an integer number (1745383860).

Almost surely, 2^726588128448 is an apocalyptic number.

726588128448 is a gapful number since it is divisible by the number (78) 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 726588128448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1466122442400).

726588128448 is an abundant number, since it is smaller than the sum of its proper divisors (2205656756352).

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

726588128448 is a wasteful number, since it uses less digits than its factorization.

726588128448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 161 (or 85 counting only the distinct ones).

The product of its digits is 55050240, while the sum is 63.

The spelling of 726588128448 in words is "seven hundred twenty-six billion, five hundred eighty-eight million, one hundred twenty-eight thousand, four hundred forty-eight".