726595914905952 has 768 divisors, whose sum is σ = 2612938144481280. Its totient is φ = 171402548428800.

The previous prime is 726595914905873. The next prime is 726595914905953. The reversal of 726595914905952 is 259509419595627.

726595914905952 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (78).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (726595914905953) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 209243593 + ... + 212687735.

It is an arithmetic number, because the mean of its divisors is an integer number (3402263208960).

Almost surely, 2^{726595914905952} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 726595914905952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1306469072240640).

726595914905952 is an abundant number, since it is smaller than the sum of its proper divisors (1886342229575328).

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

726595914905952 is a wasteful number, since it uses less digits than its factorization.

726595914905952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3444267 (or 3444259 counting only the distinct ones).

The product of its (nonzero) digits is 2755620000, while the sum is 78.

The spelling of 726595914905952 in words is "seven hundred twenty-six trillion, five hundred ninety-five billion, nine hundred fourteen million, nine hundred five thousand, nine hundred fifty-two".