726853091328 has 1152 divisors, whose sum is σ = 2766887907840. Its totient is φ = 183458856960.

The previous prime is 726853091311. The next prime is 726853091333. The reversal of 726853091328 is 823190358627.

726853091328 is a `hidden beast` number, since 7 + 2 + 6 + 8 + 5 + 309 + 1 + 328 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 11915624418 + ... + 11915624478.

It is an arithmetic number, because the mean of its divisors is an integer number (2401812420).

Almost surely, 2^726853091328 is an apocalyptic number.

726853091328 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 726853091328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1383443953920).

726853091328 is an abundant number, since it is smaller than the sum of its proper divisors (2040034816512).

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

726853091328 is an equidigital number, since it uses as much as digits as its factorization.

726853091328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 161 (or 123 counting only the distinct ones).

The product of its (nonzero) digits is 4354560, while the sum is 54.

The spelling of 726853091328 in words is "seven hundred twenty-six billion, eight hundred fifty-three million, ninety-one thousand, three hundred twenty-eight".