726927823440 has 640 divisors, whose sum is σ = 3086522449920. Its totient is φ = 153132705792.

The previous prime is 726927823429. The next prime is 726927823513. The reversal of 726927823440 is 44328729627.

726927823440 is a `hidden beast` number, since 7 + 26 + 9 + 278 + 2 + 344 + 0 = 666.

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

It is a congruent number.

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 127 ways as a sum of consecutive naturals, for example, 142896577 + ... + 142901663.

It is an arithmetic number, because the mean of its divisors is an integer number (4822691328).

Almost surely, 2^726927823440 is an apocalyptic number.

726927823440 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 726927823440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1543261224960).

726927823440 is an abundant number, since it is smaller than the sum of its proper divisors (2359594626480).

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

726927823440 is a wasteful number, since it uses less digits than its factorization.

726927823440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5856 (or 5844 counting only the distinct ones).

The product of its (nonzero) digits is 8128512, while the sum is 54.

The spelling of 726927823440 in words is "seven hundred twenty-six billion, nine hundred twenty-seven million, eight hundred twenty-three thousand, four hundred forty".